Subjects -> MATHEMATICS (Total: 1100 journals)
    - APPLIED MATHEMATICS (88 journals)
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    - MATHEMATICS (812 journals)
    - MATHEMATICS (GENERAL) (43 journals)
    - NUMERICAL ANALYSIS (24 journals)

MATHEMATICS (812 journals)                  1 2 3 4 5 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 5)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 4)
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: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 3)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 39)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 13)
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: 12)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 4)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 6)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 10)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 23)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 3)
Advances in Fixed Point Theory     Open Access   (Followers: 8)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 19)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 11)
Advances in Materials Science     Open Access   (Followers: 19)
Advances in Mathematical Physics     Open Access   (Followers: 8)
Advances in Mathematics     Full-text available via subscription   (Followers: 17)
Advances in Nonlinear Analysis     Open Access   (Followers: 1)
Advances in Numerical Analysis     Open Access   (Followers: 9)
Advances in Operations Research     Open Access   (Followers: 13)
Advances in Operator Theory     Hybrid Journal   (Followers: 4)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 10)
Advances in Pure Mathematics     Open Access   (Followers: 11)
Advances in Science and Research (ASR)     Open Access   (Followers: 9)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 9)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 7)
Afrika Matematika     Hybrid Journal   (Followers: 3)
Air, Soil & Water Research     Open Access   (Followers: 13)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 3)
AKSIOMATIK : Jurnal Penelitian Pendidikan dan Pembelajaran Matematika     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Al-Qadisiyah Journal for Computer Science and Mathematics     Open Access   (Followers: 1)
AL-Rafidain Journal of Computer Sciences and Mathematics     Open Access   (Followers: 6)
Algebra and Logic     Hybrid Journal   (Followers: 7)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Open Access   (Followers: 5)
Algorithms     Open Access   (Followers: 12)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 10)
American Journal of Mathematical Analysis     Open Access   (Followers: 2)
American Journal of Mathematical and Management Sciences     Hybrid Journal   (Followers: 1)
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 8)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 11)
Anadol University Journal of Science and Technology B : Theoritical Sciences     Open Access  
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access  
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 6)
Analysis Mathematica     Full-text available via subscription  
Analysis. International mathematical journal of analysis and its applications     Hybrid Journal   (Followers: 5)
Anargya : Jurnal Ilmiah Pendidikan Matematika     Open Access   (Followers: 3)
Annales Mathematicae Silesianae     Open Access   (Followers: 2)
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – 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: 4)
Annals of Data Science     Hybrid Journal   (Followers: 13)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 8)
Annals of Functional Analysis     Hybrid Journal   (Followers: 4)
Annals of Mathematics     Full-text available via subscription   (Followers: 3)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 14)
Annals of PDE     Hybrid Journal   (Followers: 1)
Annals of Pure and Applied Logic     Open Access   (Followers: 4)
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  
Annals of West University of Timisoara - Mathematics and Computer Science     Open Access   (Followers: 2)
Annuaire du Collège de France     Open Access   (Followers: 6)
ANZIAM Journal     Open Access   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 3)
Applications of Mathematics     Hybrid Journal   (Followers: 3)
Applied Categorical Structures     Hybrid Journal   (Followers: 4)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 14)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics     Open Access   (Followers: 8)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 10)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal   (Followers: 1)
Applied Mathematics and Nonlinear Sciences     Open Access  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 4)
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: 6)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 4)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 3)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 6)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 6)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites     Open Access   (Followers: 24)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Research Journal of Mathematics     Open Access   (Followers: 1)
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 3)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 5)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 2)
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: 2)
Banach Journal of Mathematical Analysis     Hybrid Journal   (Followers: 2)
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access   (Followers: 2)
Biomath     Open Access  
BIT Numerical Mathematics     Hybrid Journal   (Followers: 1)
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: 2)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 18)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 13)
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: 3)
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: 2)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the Iranian Mathematical Society     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Cadernos do IME : Série Matemática     Open Access   (Followers: 1)
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Mathematics / Journal canadien de mathématiques     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 22)
Canadian Mathematical Bulletin     Hybrid Journal  
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 3)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
Chaos, Solitons & Fractals : X     Open Access  
ChemSusChem     Hybrid Journal   (Followers: 8)
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  
Ciencia     Open Access   (Followers: 1)
Clean Air Journal     Full-text available via subscription   (Followers: 1)
CODEE Journal     Open Access   (Followers: 3)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 3)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Hybrid Journal   (Followers: 4)
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 15)
Commentarii Mathematici Helvetici     Hybrid Journal  
Communications in Advanced Mathematical Sciences     Open Access  
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 4)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 4)
Complex Analysis and its Synergies     Open Access   (Followers: 3)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Composite Materials Series     Full-text available via subscription   (Followers: 9)
Compositio Mathematica     Full-text available via subscription  
Comptes Rendus Mathematique     Full-text available via subscription  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 4)
Computational and Mathematical Methods     Hybrid Journal  
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: 9)
Computational Mechanics     Hybrid Journal   (Followers: 5)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 9)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 11)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
Contributions to Discrete Mathematics     Open Access   (Followers: 2)
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 13)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 8)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Daya Matematis : Jurnal Inovasi Pendidikan Matematika     Open Access   (Followers: 2)
Demographic Research     Open Access   (Followers: 15)
Demonstratio Mathematica     Open Access  

        1 2 3 4 5 | Last

Similar Journals
Journal Cover
Annales mathématiques du Québec
Journal Prestige (SJR): 0.438
Number of Followers: 4  
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 2195-4755 - ISSN (Online) 2195-4763
Published by Springer-Verlag Homepage  [2626 journals]
  • Fontaine–Laffaille modules and strongly divisible modules
    • Abstract: Abstract In this note, we study the relation between Fontaine–Laffaille modules and strongly divisible modules, without assuming the main theorem of Fontaine–Laffaille (but we need to assume the main results concerning strongly divisible modules). This in particular gives a new proof for the main theorem of Fontaine–Laffaille (for \(p>2\) ).
      PubDate: 2019-04-01
  • On the values of the Euler function around shifted primes
    • Abstract: Abstract Let \(\varphi \) stand for the Euler totient function. Garcia and Luca have proved that, given any positive integer \(\ell \) , the set of those primes p such that \(\varphi (p+\ell )/\varphi (p-\ell )>1\) has the same density as the set of those primes p for which \(\varphi (p+\ell )/\varphi (p-\ell )<1\) . Here we prove this result using classical results from probabilistic and analytic number theory. We then establish similar results for the sum of divisors function and for the k-fold iterate of the Euler function. We also examine the modulus of continuity of some arithmetical functions. Finally, we provide a general result regarding the existence of the distribution function for the function \(s(p):=f(p+\ell )-f(p-\ell )\) for any fixed positive integer \(\ell \) provided the additive function f satisfies certain conditions.
      PubDate: 2019-04-01
  • The fundamental group of a rigid Lagrangian cobordism
    • Abstract: Abstract In this article we extend the construction of the Floer fundamental group to the monotone Lagrangian setting (for weakly exact or monotone Lagrangians with large minimal Maslov number) and use it to study the fundamental group of a Lagrangian cobordism \(W\subset (\mathbb {C}\times M, \omega _{st}\oplus \omega )\) between two Lagrangian submanifolds \(L, L'\subset ( M, \omega )\) . We show that under natural conditions the inclusions \(L,L'\hookrightarrow W\) induce surjective maps \(\pi _{1}(L)\twoheadrightarrow \pi _{1}(W)\) , \(\pi _{1}(L')\twoheadrightarrow \pi _{1}(W)\) and when the previous maps are injective then W is an h-cobordism. In particular, in dimension at least 6, W is topologically trivial in this case.
      PubDate: 2019-04-01
  • Even Galois representations and the cohomology of $$\mathrm{GL}(2,\mathbb
           Z)$$ GL ( 2 , Z )
    • Abstract: Abstract Let \(\rho \) be an even two-dimensional representation of the Galois group \({{\mathrm{Gal}}}(\overline{\mathbb Q}/\mathbb Q)\) which is induced from a character \(\chi \) of odd order of the absolute Galois group of a real quadratic field K. After imposing some additional conditions on \(\chi \) , we attach \(\rho \) to a Hecke eigenclass in the cohomology of \(\mathrm{GL}(2,\mathbb Z)\) with coefficients in a certain infinite-dimensional vector space V over an arbitrary field of characteristic not equal to 2. The space V is defined purely algebraically starting from the field K.
      PubDate: 2019-04-01
  • A note on Kuttler–Sigillito’s inequalities
    • Abstract: Abstract We provide several inequalities between eigenvalues of some classical eigenvalue problems on compact Riemannian manifolds with \(C^2\) boundary. A key tool in the proof is the generalized Rellich identity on a Riemannian manifold. Our results in particular extend some inequalities due to Kuttler and Sigillito from subsets of \(\mathbb {R}^2\) to the manifold setting.
      PubDate: 2019-03-09
  • Classes of order 4 in the strict class group of number fields and remarks
           on unramified quadratic extensions of unit type
    • Abstract: Abstract Let K be a number field of degree n over \(\mathbb {Q}\) . Then the 4-rank of the strict class group of K is at least \(\text {rank}_2 \, ( E_{K}^{+} / E_K^2) - \lfloor n /2 \rfloor \) where \(E_K\) and \( E_{K}^{+} \) denote the units and the totally positive units of K, respectively, and \(\text {rank}_2\) is the dimension as an elementary abelian 2-group. In particular, the strict class group of a totally real field K with a totally positive system of fundamental units contains at least \((n-1)/2\) (n odd) or \(n/2 -1\) (n even) independent elements of order 4. We also investigate when units in K are sums of two squares in K or are squares mod 4 in K.
      PubDate: 2019-02-25
  • On CM-types of Galois CM-fields without proper CM-subfields
    • Abstract: Abstract We show that all CM-types of Galois CM-fields without proper CM-subfields are nondegenerate. As a consequence, the Hodge conjecture is true for abelian varieties with complex multiplication by such CM-fields.
      PubDate: 2019-01-07
  • A Kulikov-type classification theorem for a one parameter family of
           K3-surfaces over a p -adic field and a good reduction criterion
    • Abstract: Abstract In this paper, we prove a p-adic analogous of the Kulikov-Persson-Pinkham classification theorem for the central fiber of a degeneration of K3-surfaces in terms of the nilpotency degree of the monodromy of the family. Namely, let \(X_K\) be a be a smooth, projective K3-surface over the p-adic field K, which has either, a minimal semistable model X over \(\mathscr {O}_K\) , or combinatorial reduction. If we let \(N_{st}\) be the Fontaine’s monodromy operator on \(D_{st}(H^2_{\acute{{\mathrm{e}}}\mathrm{t}}(X_{\overline{K}},{\mathbb {Q}}_{p}))\) , then we prove that the degree of nilpotency of \(N_{st}\) determines the type of the special fiber of X. As a consequence we give a criterion for the good reduction of the semistable K3-surface \(X_K\) in terms of its p-adic representation \(H^2_{\acute{{\mathrm{e}}}\mathrm{t}}(X_{\overline{K}},{\mathbb {Q}}_{p})\) , which is similar to the criterion of good reduction for p-adic abelian varieties and curves given by Coleman and Iovita and Andreatta-Iovita-Kim.
      PubDate: 2018-12-11
  • Normes d’idéaux dans la tour cyclotomique et conjecture de
    • Abstract: Abstract Let k be a totally real number field and let \(k_\infty \) be its cyclotomic \(\mathbb {Z}_p\) -extension. This work continues our article « Approche p-adique de la conjecture de Greenberg pour les corps totalement réels»  by means of heuristics on the p-adic behavior of ideal norms in \(k_\infty /k\) ; indeed, this conjecture (on the nullity of the Iwasawa invariants \(\lambda \) , \(\mu \) ) depends on some images of these norms in the torsion group \({{\mathcal {T}}}_k\) of the Galois group of the maximal abelian p-ramified pro-p-extension of k, thus of their Artin symbols in a finite extension F / k obtained by Galois descent of \({{\mathcal {T}}}_k\) . A natural assumption of distribution of these Artin symbols implies \(\lambda =\mu =0\) . Statistics confirm the probable exactness of such properties which constitute the fundamental obstruction for a proof of Greenberg’s conjecture in the sole framework of Iwasawa’s theory.
      PubDate: 2018-10-17
  • Local behaviour of generalised Iwasawa invariants
    • Abstract: Abstract We study the local behaviour of generalised Iwasawa invariants attached to multiple \(\mathbb {Z}_p\) -extensions of a number field K, with respect to a suitable topology on the sets of \(\mathbb {Z}_p^d\) -extensions of K, \(d \in \mathbb {N}\) . These invariants generalise the classical Iwasawa invariants which describe the asymptotic growth of the ideal class groups of the intermediate fields in a \(\mathbb {Z}_p\) -extension. Generalising work for \(\mathbb {Z}_p\) -extensions and classical Iwasawa invariants, we show that, under certain assumptions, generalised Iwasawa invariants are locally maximal. In other words, the generalised Iwasawa invariants of certain \(\mathbb {Z}_p^d\) -extensions \(\mathbb {K}\) of K bound the generalised Iwasawa invariants for all \(\mathbb {Z}_p^d\) -extensions of K close to \(\mathbb {K}\) . The main ingredient in the proof is the precise investigation of the Galois module structure of the ideal class groups, which is much more involved than in the one-dimensional case.
      PubDate: 2018-10-03
  • Gaps in the Milnor–Moore spectral sequence and the Hilali conjecture
    • Abstract: Abstract Let X be a simply-connected space, \((\Lambda V, d)\) its minimal Sullivan model and \(d_k\) ( \(k\ge 2\) ) the first non-zero homogeneous part of the differential d. In this paper, assuming that \((\Lambda V, d_k)\) is elliptic, we show that \(H(\Lambda V,d)\) has no \(e_0\) -gap and consequently we confirm the Hilali conjecture when \(V = V^{odd}\) or else when \(k\ge 3\) .
      PubDate: 2018-10-03
  • Summation identities and transformations for hypergeometric series
    • Abstract: Abstract We find summation identities and transformations for the McCarthy’s p-adic hypergeometric series by evaluating certain Gauss sums which appear while counting points on the family $$\begin{aligned} Z_{\lambda }: x_1^d+x_2^d=d\lambda x_1x_2^{d-1} \end{aligned}$$ over a finite field \(\mathbb {F}_p\) . Salerno expresses the number of points over a finite field \(\mathbb {F}_p\) on the family \(Z_{\lambda }\) in terms of quotients of p-adic gamma functions under the condition that \(d p-1\) . In this paper, we first express the number of points over a finite field \(\mathbb {F}_p\) on the family \(Z_{\lambda }\) in terms of McCarthy’s p-adic hypergeometric series for any odd prime p not dividing \(d(d-1)\) , and then deduce two summation identities for the p-adic hypergeometric series. We also find certain transformations and special values of the p-adic hypergeometric series. We finally find a summation identity for the Greene’s finite field hypergeometric series.
      PubDate: 2018-10-01
  • On the existence of constant scalar curvature Kähler metric: a new
    • Abstract: Abstract In this note, we introduce a new continuity path of fourth order nonlinear equations connecting the cscK equation to a second order elliptic equation, which is the critical point equation of the J-flow introduced by Donaldson (Asian J Math 3(1):1–16, 1999) and the author (Commun Anal Geom 12(4):837–852, 2004). This is a generalization of the classical Aubin continuity path for Kähler–Einstein metrics. The aim of this new path is to attack the existence problem of cscK metric. The “openness” along this continuity path is proved and a set of open problems associated with this new path is proposed.
      PubDate: 2018-10-01
  • On tame subgroups of finitely presented groups
    • Authors: Rita Gitik
      Abstract: Abstract We prove that the free product of two finitely presented locally tame groups is locally tame and describe many examples of tame subgroups of finitely presented groups. We also include some open problems related to tame subgroups.
      PubDate: 2018-04-21
      DOI: 10.1007/s40316-018-0102-9
  • $$\hbox {K}_{1}$$ K 1 -congruences for three-dimensional Lie groups
    • Authors: Daniel Delbourgo; Qin Chao
      Abstract: Abstract We completely describe \(\hbox {K}_{1}({\mathbb {Z}}_p[\![{\mathcal {G}}_{\infty }]\!])\) and its localisations by using an infinite family of p-adic congruences, where \({\mathcal {G}}_{\infty }\) is any solvable p-adic Lie group of dimension 3. This builds on earlier work of Kato when \(\hbox {dim}({\mathcal {G}}_{\infty })=2\) , and of the first named author and Lloyd Peters when \({\mathcal {G}}_{\infty } \cong {\mathbb {Z}}_p^{\times }\ltimes {\mathbb {Z}}_p^d\) with a scalar action of \({\mathbb {Z}}_p^{\times }\) . The method exploits the classification of 3-dimensional p-adic Lie groups due to González-Sánchez and Klopsch, as well as the fundamental ideas of Kakde, Burns, etc. in non-commutative Iwasawa theory.
      PubDate: 2018-04-16
      DOI: 10.1007/s40316-018-0100-y
  • On the discriminator of Lucas sequences
    • Authors: Bernadette Faye; Florian Luca; Pieter Moree
      Abstract: Abstract We consider the family of Lucas sequences uniquely determined by \(U_{n+2}(k)=(4k+2)U_{n+1}(k) -U_n(k),\) with initial values \(U_0(k)=0\) and \(U_1(k)=1\) and \(k\ge 1\) an arbitrary integer. For any integer \(n\ge 1\) the discriminator function \(\mathcal {D}_k(n)\) of \(U_n(k)\) is defined as the smallest integer m such that \(U_0(k),U_1(k),\ldots ,U_{n-1}(k)\) are pairwise incongruent modulo m. Numerical work of Shallit on \(\mathcal {D}_k(n)\) suggests that it has a relatively simple characterization. In this paper we will prove that this is indeed the case by showing that for every \(k\ge 1\) there is a constant \(n_k\) such that \({\mathcal D}_{k}(n)\) has a simple characterization for every \(n\ge n_k\) . The case \(k=1\) turns out to be fundamentally different from the case \(k>1\) .
      PubDate: 2018-02-12
      DOI: 10.1007/s40316-017-0097-7
  • On zero sets of harmonic and real analytic functions
    • Authors: André Boivin; Paul M. Gauthier; Myrto Manolaki
      Abstract: Abstract In this paper we study some questions related to the zero sets of harmonic and real analytic functions in \({\mathbb {R}}^N\) . We introduce the notion of analytic uniqueness sequences and, as an application, we show that the zero set of a non-constant real analytic function on a domain always has empty fine interior. We also prove that, for a certain category of sets \(E\subset {\mathbb {R}}^N\) (containing the finely open sets), each function f defined on E is the restriction of a real analytic (respectively harmonic) function on an open neighbourhood of E if and only if f is “analytic (respectively harmonic) at each point” of E.
      PubDate: 2018-02-01
      DOI: 10.1007/s40316-018-0098-1
  • Applications of Kronecker’s limit formula for elliptic Eisenstein
    • Authors: Jay Jorgenson; Anna-Maria von Pippich; Lejla Smajlović
      Abstract: Abstract We develop two applications of the Kronecker’s limit formula associated to elliptic Eisenstein series: A factorization theorem for holomorphic modular forms, and a proof of Weil’s reciprocity law. Several examples of the general factorization results are computed, specifically for certain moonshine groups, congruence subgroups, and, more generally, non-compact subgroups with one cusp. In particular, we explicitly compute the Kronecker limit function associated to certain elliptic fixed points for a few small level moonshine groups.
      PubDate: 2017-10-31
      DOI: 10.1007/s40316-017-0094-x
  • Formules de genres et conjecture de Greenberg
    • Authors: Thong Nguyen Quang Do
      Abstract: Abstract Greenberg’s well known conjecture, (GC) for short, asserts that the Iwasawa invariants \(\lambda \) and \(\mu \) associated to the cyclotomic \({\mathbb {Z}}_p\) -extension of any totally real number field F should vanish. In his foundational 1976 paper, Greenberg has shown two necessary and sufficient conditions for (GC) to hold, in two seemingly opposite cases, when p is undecomposed, resp. totally decomposed in F. In this article we present an encompassing approach covering both cases and resting only on “ genus formulas ”, that is (roughly speaking) on formulas which express the order of the Galois (co-)invariants of certain modules along the cyclotomic tower. These modules are akin to class groups, and in the end we obtain several unified criteria, which naturally contain the particular conditions given by Greenberg.
      PubDate: 2017-10-20
      DOI: 10.1007/s40316-017-0093-y
  • Convergence rates for nonequilibrium Langevin dynamics
    • Authors: A. Iacobucci; S. Olla; G. Stoltz
      Abstract: Abstract We study the exponential convergence to the stationary state for nonequilibrium Langevin dynamics, by a perturbative approach based on hypocoercive techniques developed for equilibrium Langevin dynamics. The Hamiltonian and overdamped limits (corresponding respectively to frictions going to zero or infinity) are carefully investigated. In particular, the maximal magnitude of admissible perturbations are quantified as a function of the friction. Numerical results based on a Galerkin discretization of the generator of the dynamics confirm the theoretical lower bounds on the spectral gap.
      PubDate: 2017-10-06
      DOI: 10.1007/s40316-017-0091-0
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