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MATHEMATICS (646 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 3)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 2)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 6)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 4)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 20)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 9)
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: 5)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 4)
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: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 15)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 1)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 9)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 1)
Advances in Materials Sciences     Open Access   (Followers: 15)
Advances in Mathematical Physics     Open Access   (Followers: 6)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 3)
Advances in Operations Research     Open Access   (Followers: 11)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 5)
Advances in Pure Mathematics     Open Access   (Followers: 4)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
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: 7)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 2)
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: 9)
Algorithms Research     Open Access  
American Journal of Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 3)
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: 5)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 7)
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: 8)
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: 6)
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)
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: 12)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 4)
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 Numerical Analysis & Computational Mathematics     Hybrid Journal   (Followers: 5)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 2)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 4)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal  
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 17)
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: 1)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access  
Baltic International Yearbook of Cognition, Logic and Communication     Open Access  
Basin Research     Hybrid Journal   (Followers: 3)
BIBECHANA     Open Access  
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: 19)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 5)
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: 2)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
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)
CAUCHY     Open Access   (Followers: 1)
CEAS Space Journal     Hybrid Journal  
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: 2)
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: 1)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 13)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 1)
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: 9)
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: 4)
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: 5)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
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  
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 11)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 28)
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: 2)
Discrete Mathematics     Hybrid Journal   (Followers: 7)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
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: 3)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Ensino da Matemática em Debate     Open Access  
Entropy     Open Access   (Followers: 4)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 4)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 3)
Expositiones Mathematicae     Hybrid Journal   (Followers: 2)
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
Fasciculi Mathematici     Open Access  
Finite Fields and Their Applications     Full-text available via subscription   (Followers: 4)
Fixed Point Theory and Applications     Open Access   (Followers: 1)
Formalized Mathematics     Open Access   (Followers: 2)

        1 2 3 4 | Last

Journal Cover Acta Mathematica Hungarica
  [SJR: 0.53]   [H-I: 29]   [2 followers]  Follow
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 1588-2632 - ISSN (Online) 0236-5294
   Published by Springer-Verlag Homepage  [2335 journals]
  • Maximal densely countably compact topologies
    • Authors: J. A. Martínez-Cadena; R. G. Wilson
      Pages: 259 - 270
      Abstract: Abstract A topological space X is densely countably compact if it possesses a dense subspace D with the property that every infinite subset of D has an accumulation point in X. We study topologies which are maximal with respect to this property; in particular we show that a T 1 densely countably compact space is maximal densely countably compact if and only if it is a scattered Fréchet SC-space of scattering order 2.
      PubDate: 2017-04-01
      DOI: 10.1007/s10474-016-0684-0
      Issue No: Vol. 151, No. 2 (2017)
  • Minimum modulus, perturbation for essential ascent and descent of a closed
           linear relation in Hilbert spaces
    • Authors: Z. Garbouj; H. Skhiri
      Pages: 328 - 360
      Abstract: Abstract For a closed linear relation in a Hilbert space the notions of minimum modulus, essential g-ascent, essential ascent and essential descent are introduced and studied. We prove that some results of E. Chafai and M. Mnif [3] related to the stability of the essential descent and descent of a linear relation T everywhere defined such that \({T(0)\subseteq \mathsf{ker}(T)}\) by a finite rank operator F commuting with T, remain valid when F is an everywhere defined linear relation and without the assumption that \({T(0)\subseteq \mathsf{ker}(T)}\) . We studied also the stability of the essential g-ascent and the essential ascent under a finite rank relation. Motivated by the recent work of T. Álvarez and A. Sandovici [1], we extend to a closed linear relation, the well known notion of minimum modulus of a linear operator (H. A. Gindler and A. E. Taylor [7]). Also, we introduce and study the new notion of minimum g-modulus for a linear relation.
      PubDate: 2017-04-01
      DOI: 10.1007/s10474-016-0683-1
      Issue No: Vol. 151, No. 2 (2017)
  • More on variants of complete metric spaces
    • Authors: M. Aggarwal; S. Kundu
      Pages: 391 - 408
      Abstract: Abstract Some classes of metric spaces satisfying properties stronger than completeness but weaker than compactness have been studied by many authors over the years. One such significant family consists of those metric spaces on which every real-valued continuous function is uniformly continuous, which are widely known as Atsuji spaces or UC spaces. Recently in 2014, two new kinds of complete metric spaces are introduced, namely Bourbaki-complete and cofinally Bourbaki-complete metric spaces, whose idea has come from some new classes of sequences acting as generalizations of Cauchy sequences. Our major goal is to give several new equivalent conditions for metric spaces whose completions are one of the aforesaid spaces, especially in terms of some functions, sequences and geometric functionals.
      PubDate: 2017-04-01
      DOI: 10.1007/s10474-016-0682-2
      Issue No: Vol. 151, No. 2 (2017)
  • Line-inversion and pedal transformation in the quasi-hyperbolic plane
    • Authors: H. Halas
      Pages: 462 - 481
      Abstract: Abstract The line-inversion and pedal transformation are defined in the quasi-hyperbolic plane and certain properties of these transformations are shown with regard to analogous transformations in the Euclidean [1, 3, 10, 12, 20], hyperbolic [4, 15, 18] isotropic [17, 19] and pseudo-Euclidean plane [5, 6, 7, 14]. As it is natural to observe class curves in the quasi-hyperbolic plane, i.e. line envelopes, the construction of a tangent point on any line of the class curve obtained by the line-inversion and pedal transformation is shown.
      PubDate: 2017-04-01
      DOI: 10.1007/s10474-016-0686-y
      Issue No: Vol. 151, No. 2 (2017)
  • Almost sure limit behavior of Cesàro sums with small order
    • Authors: A. Gut; U. Stadtmüller
      Pages: 510 - 530
      Abstract: Abstract Various methods of summation for divergent series have been extended to analogs for sums of i.i.d. random variables. The present paper deals with a special class of matrix weighted sums of i.i.d. random variables where the weights \({a_{n,k}}\) are defined as the weights from Cesàro summability, i.e., \({a_{n,k}=\binom{n-k+\alpha-1}{n-k}/\binom{n+\alpha}{n}}\) , where \({\alpha > 0}\) . A strong law of large numbers (SLLN) has been shown to hold in this setting iff \({E { X }^{1/\alpha}<\infty}\) , but a law of the iterated logarithm (LIL) has been shown for the case \({\alpha \geqq 1}\) only. We will study the case \({0 < \alpha < 1}\) in more detail, giving an LIL for \({1/2 < \alpha < 1}\) and some additional strong limit theorems under appropriate moment conditions for \({1/2 \leqq \alpha < 1}\) .
      PubDate: 2017-04-01
      DOI: 10.1007/s10474-016-0685-z
      Issue No: Vol. 151, No. 2 (2017)
  • On a new type of stability of a radical quadratic functional equation
           using Brzdȩk’s fixed point theorem
    • Authors: L. Aiemsomboon; W. Sintunavarat
      Pages: 35 - 46
      Abstract: Abstract Using a fixed point result and an approach to stability of functional equations presented in [8], we investigate a new type of stability for the radical quadratic functional equation of the form $$ f(\sqrt{x^2+y^2}) = f(x) + f(y), $$ where f is a self-mapping on the set of real numbers. We generalize, extend, and complement some earlier classical results concerning the Hyers–Ulam stability for that functional equations.
      PubDate: 2017-02-01
      DOI: 10.1007/s10474-016-0666-2
      Issue No: Vol. 151, No. 1 (2017)
  • On the discrete ideal convergence of sequences of quasi-continuous
    • Authors: T. Natkaniec; P. Szuca
      Pages: 69 - 81
      Abstract: Abstract For any Borel ideal \({\mathcal{I}}\) we describe the discrete \({\mathcal{I}}\) -Baire system generated by the family of quasi-continuous real-valued functions. We characterize Borel ideals \({\mathcal{I}}\) for which ideal and ordinary discrete Baire systems coincide.
      PubDate: 2017-02-01
      DOI: 10.1007/s10474-016-0673-3
      Issue No: Vol. 151, No. 1 (2017)
  • Concrete algorithms for word problem and subsemigroup problem for
           semigroups which are disjoint unions of finitely many copies of the free
           monogenic semigroup
    • Authors: N. Abughazalah
      Abstract: Abstract Every semigroup which is a finite disjoint union of copies of the free monogenic semigroup (natural numbers under addition) has soluble word problem and soluble membership problem. Efficient algorithms are given for both problems.
      PubDate: 2017-03-02
      DOI: 10.1007/s10474-017-0687-5
  • On 3-dimensional wgsc inverse-representations of groups
    • Authors: D. E. Otera; F. G. Russo; C. Tanasi
      Abstract: Abstract We study the notion of wgsc inverse-representation of finitely presented groups and use the “ \({(\Phi,\Psi)}\) -technique” of Poénaru, in order to prove that the universal cover of a closed 3-manifold admitting a wgsc inverse-representation with an extra finiteness condition is simply connected at infinity. Furthermore, we investigate some new relations between wgsc inverse-representations and the qsf property for groups.
      PubDate: 2017-02-21
      DOI: 10.1007/s10474-017-0698-2
  • The joint universality for pairs of zeta functions in the Selberg class
    • Authors: H. Mishou; H. Nagoshi
      Abstract: Abstract We establish a joint universality theorem for pairs of functions in the Selberg class under certain conditions. This theorem generalizes and unifies several previous results, which were shown individually. We also give further examples of pairs of jointly universal L-functions, and actually extend the known universality theorem for the symmetric power L-function \({L(s, \mathrm{sym}^m f)}\) associated to a holomorphic Hecke eigen cusp form f for \({\mathrm{SL}_{2} (\mathbb{Z})}\) with \({1 \le m \le 4}\) .
      PubDate: 2017-02-21
      DOI: 10.1007/s10474-017-0696-4
  • Somme des chiffres et répartition dans les classes de congruence pour les
           palindromes ellipséphiques
    • Authors: K. Aloui; Ch. Mauduit; M. Mkaouar
      Abstract: Résumé L’objet de cet article est de généraliser plusieurs résultats concernant la répartition dans les progressions arithmétiques de la fonction somme des chiffres au cas des nombres palindromes ellipséphiques.
      PubDate: 2017-02-21
      DOI: 10.1007/s10474-017-0688-4
  • Polynomial entropy and expansivity
    • Authors: A. Artigue; D. Carrasco-Olivera; I. Monteverde
      Abstract: Abstract We study the polynomial entropy of homeomorphisms on compact metric spaces. We construct a homeomorphism on a compact metric space with vanishing polynomial entropy that it is not equicontinuous. Also we give examples with arbitrarily small polynomial entropy. Finally, we show that expansive homeomorphisms and positively expansive maps of compact metric spaces with infinitely many points have polynomial entropy greater than or equal to 1.
      PubDate: 2017-02-20
      DOI: 10.1007/s10474-017-0689-3
  • Projections onto closed convex sets in Hilbert spaces
    • Authors: A. Domokos; J. M. Ingram; M. M. Marsh
      Abstract: Abstract Let X be a real Hilbert space. We give necessary and sufficient algebraic conditions for a mapping \({F\colon X \to X}\) with a closed image set to be the metric projection mapping onto a closed convex set. We provide examples that illustrate the necessity of each of the conditions. Our characterizations generalize several results related to projections onto closed convex sets.
      PubDate: 2017-02-20
      DOI: 10.1007/s10474-017-0691-9
  • A Salem generalised function
    • Authors: E. de Amo; M. Díaz Carrillo; J. Fernández-Sánchez
      Abstract: Abstract Among the members of the celebrated family of functions introduced by Salem in the mid 20th century, there is a particular and very interesting one that we use to relate the dyadic system of numbers representation with the modified Engel system. Various properties are studied for this function, including derivatives and fractal dimensions.
      PubDate: 2017-02-20
      DOI: 10.1007/s10474-017-0690-x
  • Meissner polyhedra
    • Authors: L. Montejano; E. Roldán-Pensado
      Abstract: Abstract We develop a concrete way to construct bodies of constant width in dimension three. They are constructed from special embeddings of self-dual graphs.
      PubDate: 2017-02-20
      DOI: 10.1007/s10474-017-0697-3
  • A short proof of Erdős’ conjecture for triple systems
    • Authors: P. Frankl; V. Rödl; A. Ruciński
      Abstract: Abstract Erdős [1] conjectured that for all \({k \geq 2}\) , \({s \geq 1}\) and \({n \geq {k(s+1)}}\) , an n-vertex k-uniform hypergraph \({\mathcal{F}}\) with \({\nu(\mathcal{F})=s}\) cannot have more than \({\max\{\binom{sk+k-1}k,\binom nk-\binom{n-s}k\}}\) edges. It took almost fifty years to prove it for triple systems. In [5] we proved the conjecture for all s and all \({n \geq 4(s+1)}\) . Then Łuczak and Mieczkowska [6] proved the conjecture for sufficiently large s and all n. Soon after, Frankl proved it for all s. Here we present a simpler version of that proof which yields Erdős’ conjecture for \({s \geq 33}\) . Our motivation is to lay down foundations for a possible proof in the much harder case k = 4, at least for large s.
      PubDate: 2017-02-20
      DOI: 10.1007/s10474-017-0692-8
  • A new proof of the approximate convexity of the Takagi function
    • Authors: J. Makó
      Abstract: Abstract The generalized convexity of the Takagi function was proved by Z. Boros [7]. We give an another proof of this result, which is more transparent.
      PubDate: 2017-02-20
      DOI: 10.1007/s10474-017-0695-5
  • On L p inequalities involving polar derivative of a polynomial
    • Authors: N. K. Govil; P. Kumar
      Abstract: Abstract We prove that if P(z) is a polynomial of degree n with zeros z m , that satisfy \({ z_m \geq K_m \geq 1}\) , \({1 \leq m \leq n}\) , then for any p > 0, and for every complex number α, with \({ \alpha \geq 1}\) , we have $$\bigg\{\int_0^{2\pi} D_{\alpha}\{P(e^{i \theta})\} ^{p}\,d\theta\bigg\}^{{1}/{p}}\leq n( \alpha +t_0)G_{p}\bigg\{\int_0^{2\pi} P(e^{i\theta}) ^{p}\,d\theta\bigg\}^{{1}/{p}},$$ where \({G_{p}=\big\{\frac{2\pi}{\int_0^{2\pi} t_0+e^{i\theta} ^{p}\,d\theta}\big\}^{{1}/{p}}}\) , and \({t_0=\big\{1+\frac{n}{\sum_{m=1}^n\frac{1}{K_m-1}}\big\}}\) if \({K_{m}>1}\) \({(1\leq m \leq n)}\) , and t 0 = 1 if K m  = 1 for some m, \({1\leq m\leq n}\) . Our results generalize and sharpen several of the known results.
      PubDate: 2017-02-20
      DOI: 10.1007/s10474-017-0693-7
  • A quantum subgroup depth
    • Authors: A. Hernandez; L. Kadison; S. A. Lopes
      Abstract: Abstract The Green ring of the half quantum group \({H=U_n(q)}\) is computed in [9]. The tensor product formulas between indecomposables may be used for a generalized subgroup depth computation in the setting of quantum groups—to compute the depth of the Hopf subalgebra H in its Drinfeld double D(H). In this paper the Hopf subalgebra quotient module Q (a generalization of the permutation module of cosets for a group extension) is computed and, as H-modules, Q and its second tensor power are decomposed into a direct sum of indecomposables. We note that the least power n, referred to as depth, for which \({Q^{\otimes (n)}}\) has the same indecomposable constituents as \({Q^{\otimes (n+1)}}\) is \({n = 2}\) , since \({ Q^{\otimes (2)}}\) contains all H-module indecomposables, which determines the minimum even depth \({d_{\mathrm{ev}}(H,D(H)) = 6}\) .
      PubDate: 2017-02-20
      DOI: 10.1007/s10474-017-0694-6
  • Visible lattice points and the chromatic zeta function of a graph
    • Authors: J. Cilleruelo
      Abstract: Abstract We study the probability that the edges of a random cycle of k vertices in the lattice \({\{1,\ldots,n\}^s}\) do not contain more lattice points than the k vertices of the cycle. Then we introduce the chromatic zeta function of a graph to generalize this problem to other configurations induced by a given graph \({\mathcal H}\) .
      PubDate: 2016-12-19
      DOI: 10.1007/s10474-016-0678-y
School of Mathematical and Computer Sciences
Heriot-Watt University
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