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  Subjects -> MATHEMATICS (Total: 955 journals)
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    - MATHEMATICS (706 journals)
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MATHEMATICS (706 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 4)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 3)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 7)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 15)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 3)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 27)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 11)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 9)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 3)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 6)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 18)
Advances in Decision Sciences     Open Access   (Followers: 3)
Advances in Difference Equations     Open Access   (Followers: 3)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 13)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 2)
Advances in Materials Sciences     Open Access   (Followers: 14)
Advances in Mathematical Physics     Open Access   (Followers: 3)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 4)
Advances in Operations Research     Open Access   (Followers: 12)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 5)
Advances in Science and Research (ASR)     Open Access   (Followers: 4)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 11)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Algebra and Logic     Hybrid Journal   (Followers: 5)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 5)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 6)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 8)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 4)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 11)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription  
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 12)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access  
Annuaire du Collège de France     Open Access   (Followers: 5)
ANZIAM Journal     Open Access   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 1)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 11)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 6)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 6)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 1)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 2)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 5)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access  
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 20)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 6)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 4)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 1)
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access   (Followers: 2)
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 1)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 21)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 11)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 2)
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 4)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 18)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 2)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 1)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 4)
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 14)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 2)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 8)
Compositio Mathematica     Full-text available via subscription   (Followers: 1)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 5)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 8)
Concrete Operators     Open Access   (Followers: 5)
Confluentes Mathematici     Hybrid Journal  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 12)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 9)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 10)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 29)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 3)
Differentsial'nye Uravneniya     Open Access  
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae - General Algebra and Applications     Open Access  
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Diskretnaya Matematika     Full-text available via subscription  
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Akademii Nauk     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Eco Matemático     Open Access  
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Differential Equations     Open Access  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)
Elemente der Mathematik     Full-text available via subscription   (Followers: 4)

        1 2 3 4 | Last

Journal Cover Comptes Rendus Mathematique
  [SJR: 1.154]   [H-I: 46]   [1 followers]  Follow
    
   Full-text available via subscription Subscription journal
   ISSN (Print) 1631-073X
   Published by Elsevier Homepage  [3175 journals]
  • Majoration of the dimension of the space of concatenated solutions to a
           specific pantograph equation
    • Authors: Jean-François Bertazzon
      Pages: 235 - 242
      Abstract: Publication date: March 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 3
      Author(s): Jean-François Bertazzon
      For each λ ∈ N ⁎ , we consider the integral equation: ∫ λ y λ x f ( t ) d t = f ( x ) − f ( y )  for every  ( x , y ) ∈ R + 2 , where f is the concatenation of two continuous functions f a , f b : [ 0 , λ ] → R along a word u = u 0 u 1 ⋯ ∈ { a , b } N such that u = σ ( u ) , where σ is a λ-uniform substitution satisfying some combinatorial conditions. There exists some non-trivial solutions ([1]). We show in this work that the dimension of the set of solutions is at most two.

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2018.01.013
       
  • Large subgroups in finite groups
    • Authors: Stefanos Aivazidis; Thomas W. Müller
      Pages: 253 - 257
      Abstract: Publication date: March 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 3
      Author(s): Stefanos Aivazidis, Thomas W. Müller
      Following Isaacs (see [6, p. 94]), we call a normal subgroup N of a finite group G large, if C G ( N ) ≤ N , so that N has bounded index in G. Our principal aim here is to establish some general results for systematically producing large subgroups in finite groups (see Theorems A and C). We also consider the more specialised problems of finding large (non-abelian) nilpotent as well as abelian subgroups in soluble groups.

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2018.01.020
       
  • On generalized categories of Soergel bimodules in type A2
    • Authors: Thomas Gobet; Anne-Laure Thiel
      Pages: 258 - 263
      Abstract: Publication date: March 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 3
      Author(s): Thomas Gobet, Anne-Laure Thiel
      In this note, we compute the split Grothendieck ring of a generalized category of Soergel bimodules of type A 2 , where we take one generator for each reflection. We give a presentation by generators and relations of it and a parametrization of the indecomposable objects of the category, by realizing them as rings of regular functions on certain unions of graphs of group elements on a reflection faithful representation.

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2017.12.015
       
  • Weak approximation by bounded Sobolev maps with values into complete
           manifolds
    • Authors: Pierre Bousquet; Augusto C. Ponce; Jean Van Schaftingen
      Pages: 264 - 271
      Abstract: Publication date: March 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 3
      Author(s): Pierre Bousquet, Augusto C. Ponce, Jean Van Schaftingen
      We have recently introduced the trimming property for a complete Riemannian manifold N n as a necessary and sufficient condition for bounded maps to be strongly dense in W 1 , p ( B m ; N n ) when p ∈ { 1 , … , m } . We prove in this note that, even under a weaker notion of approximation, namely the weak sequential convergence, the trimming property remains necessary for the approximation in terms of bounded maps. The argument involves the construction of a Sobolev map having infinitely many analytical singularities going to infinity.

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2018.01.017
       
  • Improved version of Bohr's inequality
    • Authors: Ilgiz R. Kayumov; Saminathan Ponnusamy
      Pages: 272 - 277
      Abstract: Publication date: March 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 3
      Author(s): Ilgiz R. Kayumov, Saminathan Ponnusamy
      In this article, we prove several different improved versions of the classical Bohr's inequality. All the results are proved to be sharp.

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2018.01.010
       
  • On properties and applications of (p,q)-extended τ-hypergeometric
           functions
    • Authors: Rakesh K. Parmar; Tibor K. Pogány; Ram K. Saxena
      Pages: 278 - 282
      Abstract: Publication date: March 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 3
      Author(s): Rakesh K. Parmar, Tibor K. Pogány, Ram K. Saxena
      We introduce the ( p , q ) -extended τ-hypergeometric and confluent hypergeometric functions along with their integral representations. We also present closed integral expressions for the Mathieu-type a -series and for the associated alternating versions whose terms contain the ( p , q ) -extended τ-hypergeometric functions with related contiguous functional relations.

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2017.12.014
       
  • Logarithmic potentials on Pn
    • Authors: Fatima Zahra Assila
      Pages: 283 - 287
      Abstract: Publication date: March 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 3
      Author(s): Fatima Zahra Assila
      We study the projective logarithmic potential G μ of a probability measure μ on the complex projective space P n . We prove that the range of the operator μ ⟶ G μ is contained in the (local) domain of definition of the complex Monge–Ampère operator acting on the class of quasi-plurisubharmonic functions on P n with respect to the Fubini–Study metric. Moreover, when the measure μ has no atom, we show that the complex Monge–Ampère measure of its logarithmic potential is an absolutely continuous measure with respect to the Fubini–Study volume form on P n .

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2018.02.004
       
  • Inequalities involving the multiple psi function
    • Authors: Sourav Das
      Pages: 288 - 292
      Abstract: Publication date: March 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 3
      Author(s): Sourav Das
      In this work, multiple gamma functions of order n have been considered. The logarithmic derivative of the multiple gamma function is known as the multiple psi function. Subadditive, superadditive, and convexity properties of higher-order derivatives of the multiple psi function are derived. Some related inequalities for these functions and their ratios are also obtained.

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2018.01.014
       
  • On parabolic final value problems and well-posedness
    • Authors: Ann-Eva Christensen; Jon Johnsen
      Pages: 301 - 305
      Abstract: Publication date: March 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 3
      Author(s): Ann-Eva Christensen, Jon Johnsen
      We prove that a large class of parabolic final value problems is well posed. This results via explicit Hilbert spaces that characterise the data yielding existence, uniqueness and stability of solutions. This data space is the graph normed domain of an unbounded operator, which represents a new compatibility condition pertinent for final value problems. The framework is that of evolution equations for Lax–Milgram operators in vector distribution spaces. The final value heat equation on a smooth open set is also covered, and for non-zero Dirichlet data, a non-trivial extension of the compatibility condition is obtained by addition of an improper Bochner integral.

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2018.01.019
       
  • On the local existence for the Euler equations with free boundary for
           compressible and incompressible fluids
    • Authors: Marcelo M. Disconzi; Igor Kukavica
      Pages: 306 - 311
      Abstract: Publication date: March 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 3
      Author(s): Marcelo M. Disconzi, Igor Kukavica
      We consider the free boundary compressible and incompressible Euler equations with surface tension. In both cases, we provide a priori estimates for the local existence with the initial velocity in H 3 , with the H 3 condition on the density in the compressible case. An additional condition is required on the free boundary. Compared to the existing literature, both results lower the regularity of initial data for the Lagrangian Euler equation with surface tension.

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2018.02.002
       
  • An integrable connection on the configuration space of a Riemann surface
           of positive genus
    • Authors: Payman Eskandari
      Pages: 312 - 315
      Abstract: Publication date: March 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 3
      Author(s): Payman Eskandari
      Let X be a Riemann surface of positive genus. Denote by X ( n ) the configuration space of n distinct points on X. We use the Betti–de Rham comparison isomorphism on H 1 ( X ( n ) ) to define an integrable connection on the trivial vector bundle on X ( n ) with fiber the universal algebra of the Lie algebra associated with the descending central series of π 1 of X ( n ) . The construction is inspired by the Knizhnik–Zamolodchikov system in genus zero and its integrability follows from Riemann period relations.

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2018.02.003
       
  • Holomorphic Cartan geometries on complex tori
    • Authors: Indranil Biswas; Sorin Dumitrescu
      Pages: 316 - 321
      Abstract: Publication date: March 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 3
      Author(s): Indranil Biswas, Sorin Dumitrescu
      In [6], it was asked whether all flat holomorphic Cartan geometries ( G , H ) on a complex torus are translation invariant. We answer this affirmatively under the assumption that the complex Lie group G is affine. More precisely, we show that every holomorphic Cartan geometry of type ( G , H ) , with G a complex affine Lie group, on any complex torus is translation invariant.

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2018.02.005
       
  • On an inequality of Brendle in the hyperbolic space
    • Authors: Oussama Hijazi; Sebastián Montiel; Simon Raulot
      Pages: 322 - 326
      Abstract: Publication date: March 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 3
      Author(s): Oussama Hijazi, Sebastián Montiel, Simon Raulot
      We give a spinorial proof of a Heintze–Karcher-type inequality in the hyperbolic space proved by Brendle [4]. The proof relies on a generalized Reilly formula on spinors recently obtained in [7].

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2018.01.015
       
  • An extension of a theorem by Cheeger and Müller to spaces with
           isolated conical singularities
    • Authors: Ursula Ludwig
      Pages: 327 - 332
      Abstract: Publication date: March 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 3
      Author(s): Ursula Ludwig
      The aim of this note is to extend a theorem by Cheeger and Müller to spaces with isolated conical singularities by generalising the proof of Bismut and Zhang to the singular setting. The main tools in this approach are the Witten deformation and local index techniques.

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2018.01.012
       
  • Compact embedded minimal surfaces in the Berger sphere
    • Authors: Heayong Shin; Young Wook Kim; Sung-Eun Koh; Hyung Yong Lee; Seong-Deog Yang
      Pages: 333 - 339
      Abstract: Publication date: March 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 3
      Author(s): Heayong Shin, Young Wook Kim, Sung-Eun Koh, Hyung Yong Lee, Seong-Deog Yang
      Choe and Soret [1] constructed infinitely many compact embedded minimal surfaces in S 3 by desingularizing Clifford tori which meet each other along a great circle at the angle of the same size. We show their method works with some modifications to construct compact embedded minimal surfaces in the Berger sphere as well.

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2018.01.011
       
  • On dynamics of the Sierpiński carpet
    • Authors: Jan P. Boroński; Piotr Oprocha
      Pages: 340 - 344
      Abstract: Publication date: March 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 3
      Author(s): Jan P. Boroński, Piotr Oprocha
      We prove that the Sierpiński curve admits a homeomorphism with strong mixing properties. We also prove that the constructed example does not have Bowen's specification property.

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2018.01.009
       
  • Motion of an incompressible solid with large deformations
    • Authors: Elena Bonetti; Michel Frémond
      Pages: 345 - 350
      Abstract: Publication date: March 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 3
      Author(s): Elena Bonetti, Michel Frémond
      We study the motion of a visco-elastic solid with large deformations. We prove the existence of a local-in-time motion and of a non-negative pressure, which is a measure reaction to the incompressibility condition.

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2018.01.016
       
  • A characterization of be-critical trees
    • Authors: Amel Bendali-Braham; Noureddine Ikhlef-Eschouf; Mostafa Blidia
      Pages: 115 - 120
      Abstract: Publication date: February 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 2
      Author(s): Amel Bendali-Braham, Noureddine Ikhlef-Eschouf, Mostafa Blidia
      The b-chromatic number of a graph G is the largest integer k such that G admits a proper coloring with k colors for which each color class contains a vertex that has at least one neighbor in all the other k − 1 color classes. A graph G is called b e -critical if the contraction of any edge e of G decreases the b-chromatic number of G. The purpose of this paper is the characterization of all b e -critical trees.

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2018.01.006
       
  • On AP3-covering sequences
    • Authors: Yong-Gao Chen
      Pages: 121 - 124
      Abstract: Publication date: February 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 2
      Author(s): Yong-Gao Chen
      Recently, motivated by Stanley's sequences, Kiss, Sándor, and Yang introduced a new type sequence: a sequence A of nonnegative integers is called an A P k -covering sequence if there exists an integer n 0 such that, if n > n 0 , then there exist a 1 ∈ A , … , a k − 1 ∈ A , a 1 < a 2 < ⋯ < a k − 1 < n such that a 1 , … , a k − 1 , n form a k-term arithmetic progression. They prove that there exists an A P 3 -covering sequence A such that lim sup n → ∞ A ( n ) / n ≤ 34 . In this note, we prove that there exists an A P 3 -covering sequence A such that lim sup n → ∞ A ( n ) / n = 15 .

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2017.12.013
       
  • Multiplicative functions additive on generalized pentagonal numbers
    • Authors: Byungchan Kim; Ji Young Kim; Chong Gyu Lee; Poo-Sung Park
      Pages: 125 - 128
      Abstract: Publication date: Available online 9 January 2018
      Source:Comptes Rendus Mathematique
      Author(s): Byungchan Kim, Ji Young Kim, Chong Gyu Lee, Poo-Sung Park
      We prove that the set GP of all nonzero generalized pentagonal numbers is an additive uniqueness set; if a multiplicative function f satisfies the equation f ( a + b ) = f ( a ) + f ( b ) , for all a , b ∈ G P , then f is the identity function.

      PubDate: 2018-01-09T22:39:04Z
      DOI: 10.1016/j.crma.2017.12.011
       
  • On the denominators of harmonic numbers
    • Authors: Bing-Ling Wu; Yong-Gao Chen
      Pages: 129 - 132
      Abstract: Publication date: February 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 2
      Author(s): Bing-Ling Wu, Yong-Gao Chen
      Let H n be the n-th harmonic number and let v n be its denominator. It is well known that v n is even for every integer n ≥ 2 . In this paper, we study the properties of v n . One of our results is: the set of positive integers n such that v n is divisible by the least common multiple of 1 , 2 , ⋯ , ⌊ n 1 / 4 ⌋ has density one. In particular, for any positive integer m, the set of positive integers n such that v n is divisible by m has density one.

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2018.01.005
       
  • Geometric sequences and zero-free region of the zeta function
    • Authors: Jongho Yang
      Pages: 133 - 137
      Abstract: Publication date: Available online 5 January 2018
      Source:Comptes Rendus Mathematique
      Author(s): Jongho Yang
      Let N be the linear space of functions ∑ k = 1 n a k ρ ( θ k / x ) with a condition ∑ k = 1 n a k θ k = 0 for 0 < θ k ≤ 1 . Here ρ ( x ) denotes the fractional part of x. Beurling pointed out that the problem of how well a constant function can be approximated by functions in N is closely related to the zero-free region of the Riemann zeta function. More precisely, Báez-Duarte gave a zero-free region related to a L p -norm estimation of a constant function by using the Dirichlet series for the zeta function. In this paper, we consider the L ∞ -norm estimation of a constant function and give a wider zero-free region than that of the Báez-Duarte result.

      PubDate: 2018-01-09T22:39:04Z
      DOI: 10.1016/j.crma.2017.11.021
       
  • Metabelian Q1-groups
    • Authors: Mozhgan Rezakhanlou; Mohammad Reza Darafsheh
      Pages: 138 - 140
      Abstract: Publication date: February 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 2
      Author(s): Mozhgan Rezakhanlou, Mohammad Reza Darafsheh
      A finite group G is called a Q 1 -group if all of its non-linear irreducible characters are rational valued. In this paper, we will find the general structure of a metabelian Q 1 -group.

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2017.10.017
       
  • On the difficulty of finding spines
    • Authors: Cyril Lacoste
      Pages: 141 - 145
      Abstract: Publication date: February 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 2
      Author(s): Cyril Lacoste
      We prove that the set of symplectic lattices in the Siegel space h g whose systoles generate a subspace of dimension at least 3 in R 2 g does not contain any Sp ( 2 g , Z ) -equivariant deformation retract of h g .

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2018.01.007
       
  • Non-uniformly hyperbolic horseshoes in the standard family
    • Authors: Carlos Matheus; Carlos Gustavo Moreira; Jacob Palis
      Pages: 146 - 149
      Abstract: Publication date: Available online 9 January 2018
      Source:Comptes Rendus Mathematique
      Author(s): Carlos Matheus, Carlos Gustavo Moreira, Jacob Palis
      We show that the non-uniformly hyperbolic horseshoes of Palis and Yoccoz occur in the standard family of area-preserving diffeomorphisms of the two-torus.

      PubDate: 2018-01-09T22:39:04Z
      DOI: 10.1016/j.crma.2017.12.012
       
  • On the orbital Hausdorff dependence of differential equations with
           non-instantaneous impulses
    • Authors: Dan Yang; JinRong Wang; Donal O'Regan
      Pages: 150 - 171
      Abstract: Publication date: February 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 2
      Author(s): Dan Yang, JinRong Wang, Donal O'Regan
      In this article, we investigate the orbital Hausdorff continuous dependence of the solutions to integer order and fractional nonlinear non-instantaneous differential equations. The concept of orbital Hausdorff continuous dependence is used to characterize the relations of solutions corresponding to the impulsive points and junction points in the sense of the Hausdorff distance. Then, we establish sufficient conditions to guarantee this specific continuous dependence on their respective trajectories. Finally, two examples are given to illustrate our theoretical results.

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2018.01.001
       
  • Partial regularity for solutions to subelliptic eikonal equations
    • Authors: Paolo Albano; Piermarco Cannarsa; Teresa Scarinci
      Pages: 172 - 176
      Abstract: Publication date: February 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 2
      Author(s): Paolo Albano, Piermarco Cannarsa, Teresa Scarinci
      On a bounded domain Ω in the Euclidean space R n , we study the homogeneous Dirichlet problem for the eikonal equation associated with a system of smooth vector fields, which satisfies Hörmander's bracket generating condition. We prove that the solution is smooth in the complement of a closed set of Lebesgue measure zero.

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2018.01.003
       
  • Parametric CR-umbilical locus of ellipsoids in C2
    • Authors: Wei-Guo Foo; Joël Merker; The-Anh Ta
      Pages: 214 - 221
      Abstract: Publication date: February 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 2
      Author(s): Wei-Guo Foo, Joël Merker, The-Anh Ta
      For every real numbers a ⩾ 1 , b ⩾ 1 with ( a , b ) ≠ ( 1 , 1 ) , the curve parametrized by θ ∈ R valued in C 2 ≅ R 4 γ : θ ⟼ ( x ( θ ) + − 1 y ( θ ) , u ( θ ) + − 1 v ( θ ) ) with components: x ( θ ) : = a − 1 a ( a b − 1 ) cos ⁡ θ , y ( θ ) : = b ( a − 1 ) a b − 1 sin ⁡ θ , u ( θ ) : = b − 1 b ( a b − 1 ) sin ⁡ θ , v ( θ ) : = − a ( b − 1 ) a b − 1 cos ⁡ θ , has image contained in the CR-umbilical locus: γ ( R ) ⊂ UmbCR ( E a , b ) ⊂ E a , b of the ellipsoid E a , b ⊂ C 2
      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2017.11.019
       
  • A remark on the Bismut–Ricci form on 2-step nilmanifolds
    • Authors: Mattia Pujia; Luigi Vezzoni
      Pages: 222 - 226
      Abstract: Publication date: February 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 2
      Author(s): Mattia Pujia, Luigi Vezzoni
      In this note, we observe that, on a 2-step nilpotent Lie group equipped with a left-invariant SKT structure, the ( 1 , 1 ) -part of the Bismut–Ricci form is seminegative definite. As an application, we give a simplified proof of the non-existence of invariant SKT static metrics on 2-step nilmanifolds and of the existence of a long-time solution to the pluriclosed flow in 2-step nilmanifolds.

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2018.01.002
       
  • A nonlinear shell model of Koiter's type
    • Authors: Philippe G. Ciarlet; Cristinel Mardare
      Pages: 227 - 234
      Abstract: Publication date: Available online 5 January 2018
      Source:Comptes Rendus Mathematique
      Author(s): Philippe G. Ciarlet, Cristinel Mardare
      We define a new two-dimensional nonlinear shell model “of Koiter's type” that can be used for the modeling of any type of shell and boundary conditions and for which we establish an existence theorem. The model uses a specific three-dimensional stored energy function of Ogden's type that satisfies all the assumptions of John Ball's fundamental existence theorem in three-dimensional nonlinear elasticity and that is adapted here to the modeling of thin nonlinearly elastic shells by means of specific deformations that are quadratic with respect to the transverse variable.

      PubDate: 2018-01-09T22:39:04Z
      DOI: 10.1016/j.crma.2017.12.005
       
  • Dossier Sommaire
    • Abstract: Publication date: March 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 3


      PubDate: 2018-02-26T04:55:22Z
       
  • Computation and theory of Euler sums of generalized hyperharmonic numbers
    • Abstract: Publication date: March 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 3
      Author(s): Ce Xu
      Recently, Dil and Boyadzhiev [10] proved an explicit formula for the sum of multiple harmonic numbers whose indices are the sequence ( { 0 } r , 1 ) . In this paper, we show that the sums of multiple harmonic numbers whose indices are the sequence ( { 0 } r , 1 ; { 1 } k − 1 ) can be expressed in terms of (multiple) zeta values, (multiple) harmonic numbers, and Stirling numbers of the first kind, and give an explicit formula.

      PubDate: 2018-02-26T04:55:22Z
       
  • Complex variable approach to the analysis of a fractional differential
           equation in the real line
    • Abstract: Publication date: March 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 3
      Author(s): Müfit Şan
      The first aim of this work is to establish a Peano-type existence theorem for an initial value problem involving a complex fractional derivative, and then, as a consequence of this theorem, to give a partial answer for the local existence of the continuous solution to the initial value problem: { D x q u ( x ) = f ( x , u ( x ) ) , u ( 0 ) = b , ( b ≠ 0 ) . Moreover, for some special cases of the problem, we investigate the corresponding geometric properties of the solutions.

      PubDate: 2018-02-26T04:55:22Z
       
  • Singularities and semistable degenerations for symplectic topology
    • Authors: Mohammad F. Tehrani; Mark McLean; Aleksey Zinger
      Abstract: Publication date: Available online 23 February 2018
      Source:Comptes Rendus Mathematique
      Author(s): Mohammad F. Tehrani, Mark McLean, Aleksey Zinger
      We overview our work [7–11,6] defining and studying normal crossings varieties and subvarieties in symplectic topology. This work answers a question of Gromov on the feasibility of introducing singular (sub)varieties into symplectic topology in the case of normal crossings singularities. It also provides a necessary and sufficient condition for smoothing normal crossings symplectic varieties. In addition, we explain some connections with other areas of mathematics and discuss a few directions for further research.

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2018.02.009
       
  • Tiltan
    • Authors: Shimon Garti
      Abstract: Publication date: Available online 23 February 2018
      Source:Comptes Rendus Mathematique
      Author(s): Shimon Garti
      We prove the consistency of ♣ with the negation of Galvin's property. On the other hand, we show that superclub implies Galvin's property. We also prove the consistency of ♣ κ + with s κ > κ + for a supercompact cardinal κ.

      PubDate: 2018-02-26T04:55:22Z
       
  • On Ozaki's condition for p-valency
    • Authors: Mamoru Nunokawa; Janusz Sokół; Derek K. Thomas
      Abstract: Publication date: Available online 23 February 2018
      Source:Comptes Rendus Mathematique
      Author(s): Mamoru Nunokawa, Janusz Sokół, Derek K. Thomas
      Let f be analytic in a convex domain D ⊂ C . A well-known theorem of Ozaki states that if f is analytic in D, and is given by f ( z ) = z p + ∑ n = p + 1 ∞ a n z n for z ∈ D , and Re { e i α f ( p ) ( z ) } > 0 , ( z ∈ D ) , for some real α, then f is at most p-valent in D. Ozaki's condition is a generalization of the well-known Noshiro–Warschawski univalence condition. The purpose of this paper is to provide some related sufficient conditions for functions analytic in the unit disk D = { z ∈ C : z < 1 } to be p-valent in D , and to give an improvement to Ozaki's sufficient condition for p-valence when z ∈ D .

      PubDate: 2018-02-26T04:55:22Z
      DOI: 10.1016/j.crma.2018.02.007
       
  • Dossier Sommaire
    • Abstract: Publication date: February 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 2


      PubDate: 2018-02-26T04:55:22Z
       
  • A generalised comparison principle for the Monge–Ampère equation and
           the pressure in 2D fluid flows
    • Authors: Wojciech
      Abstract: Publication date: February 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 2
      Author(s): Wojciech S. Ożański
      We extend the generalised comparison principle for the Monge–Ampère equation due to Rauch & Taylor (1977) [15] to nonconvex domains. From the generalised comparison principle, we deduce bounds (from above and below) on solutions to the Monge–Ampère equation with sign-changing right-hand side. As a consequence, if the right-hand side is nonpositive (and does not vanish almost everywhere), then the equation equipped with a constant boundary condition has no solutions. In particular, due to a connection between the two-dimensional Navier–Stokes equations and the Monge–Ampère equation, the pressure p in 2D Navier–Stokes equations on a bounded domain cannot satisfy Δ p ≤ 0 in Ω unless Δ p ≡ 0 (at any fixed time). As a result, at any time t > 0 there exists z ∈ Ω such that Δ p ( z , t ) = 0 .

      PubDate: 2018-02-26T04:55:22Z
       
  • Dossier Sommaire
    • Abstract: Publication date: January 2018
      Source:Comptes Rendus Mathematique, Volume 356, Issue 1


      PubDate: 2018-02-26T04:55:22Z
       
  • Remarks on the Monge–Kantorovich problem in the discrete setting
    • Authors: Brezis
      Abstract: Publication date: Available online 5 January 2018
      Source:Comptes Rendus Mathematique
      Author(s): Haïm Brezis
      In Optimal Transport theory, three quantities play a central role: the minimal cost of transport, originally introduced by Monge, its relaxed version introduced by Kantorovich, and a dual formulation also due to Kantorovich. The goal of this Note is to publicize a very elementary, self-contained argument extracted from [9], which shows that all three quantities coincide in the discrete case.

      PubDate: 2018-01-09T22:39:04Z
       
  • Powerful numbers in
           (1ℓ+qℓ)(2ℓ+qℓ)⋯(nℓ+qℓ)
    • Authors: Quan-Hui Yang; Qing-Qing Zhao
      Abstract: Publication date: Available online 6 December 2017
      Source:Comptes Rendus Mathematique
      Author(s): Quan-Hui Yang, Qing-Qing Zhao
      Let q be a positive integer. Recently, Niu and Liu proved that, if n ≥ max ⁡ { q , 1198 − q } , then the product ( 1 3 + q 3 ) ( 2 3 + q 3 ) ⋯ ( n 3 + q 3 ) is not a powerful number. In this note, we prove (1) that, for any odd prime power ℓ and n ≥ max ⁡ { q , 11 − q } , the product ( 1 ℓ + q ℓ ) ( 2 ℓ + q ℓ ) ⋯ ( n ℓ + q ℓ ) is not a powerful number, and (2) that, for any positive odd integer ℓ, there exists an integer N q , ℓ such that, for any positive integer n ≥ N q , ℓ , the product ( 1 ℓ + q ℓ ) ( 2 ℓ + q ℓ ) ⋯ ( n ℓ + q ℓ ) is not a powerful number.

      PubDate: 2017-12-13T06:00:51Z
       
  • Symmetric group representations and Z
    • Authors: Anshul Adve; Alexander Yong
      Abstract: Publication date: Available online 6 December 2017
      Source:Comptes Rendus Mathematique
      Author(s): Anshul Adve, Alexander Yong
      We discuss implications of the following statement about representation theory of symmetric groups: every integer appears infinitely often as an irreducible character evaluation and every nonnegative integer appears infinitely often as a Littlewood–Richardson coefficient and as a Kronecker coefficient.

      PubDate: 2017-12-13T06:00:51Z
       
  • Lah numbers and Lindström's lemma
    • Authors: Ivica Martinjak; Riste
      Abstract: Publication date: Available online 6 December 2017
      Source:Comptes Rendus Mathematique
      Author(s): Ivica Martinjak, Riste Škrekovski
      We provide a combinatorial interpretation of Lah numbers by means of planar networks. Henceforth, as a consequence of Lindström's lemma, we conclude that the related Lah matrix possesses a remarkable property of total non-negativity.

      PubDate: 2017-12-13T06:00:51Z
       
  • CM fields with a reciprocal unit-primitive element
    • Authors: Cornelius Greither; Toufik
      Abstract: Publication date: Available online 6 December 2017
      Source:Comptes Rendus Mathematique
      Author(s): Cornelius Greither, Toufik Zaïmi
      Let K be a noncyclotomic CM field. We show that the field K ∩ R has a reciprocal unit-primitive element when K does. Also, we prove some related conditions that make the converse of this assertion true.

      PubDate: 2017-12-13T06:00:51Z
       
 
 
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