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MATHEMATICS (642 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: 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: 21)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 10)
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: 5)
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: 16)
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   (Followers: 1)
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: 7)
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: 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 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   (Followers: 1)
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: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 2)
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)
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)
Foundations and Trends® in Econometrics     Full-text available via subscription   (Followers: 4)
Foundations and Trends® in Networking     Full-text available via subscription   (Followers: 1)

        1 2 3 4 | Last

Journal Cover European Journal of Mathematics
  [1 followers]  Follow
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 2199-675X - ISSN (Online) 2199-6768
   Published by Springer-Verlag Homepage  [2341 journals]
  • A note on the size of $$\mathscr {N}$$ N -free families
    • Authors: Ryan R. Martin; Shanise Walker
      Abstract: Abstract The \(\mathscr {N}\) poset consists of four distinct sets W, X, Y, Z such that \(W\subset X, Y\subset X\) , and \(Y\subset Z\) where W is not necessarily a subset of Z. A family \({{\mathscr {F}}}\) , considered as a subposet of the n-dimensional Boolean lattice \(\mathscr {B}_n\) , is \(\mathscr {N}\) -free if it does not contain \(\mathscr {N}\) as a subposet. Let \(\mathrm{La}(n, \mathscr {N})\) be the size of a largest \(\mathscr {N}\) -free family in \(\mathscr {B}_n\) . Katona and Tarján proved that , where and is the size of a single-error-correcting code with constant weight \(k+1\) . In this note, we prove for n even and \(k=n/2, \mathrm{La}(n, \mathscr {N}) \geqslant {n\atopwithdelims ()k}+A(n, 4, k)\) , which improves the bound on \(\mathrm{La}(n, \mathscr {N})\) in the second order term for some values of n and should be an improvement for an infinite family of values of n, depending on the behavior of the function .
      PubDate: 2017-04-06
      DOI: 10.1007/s40879-017-0139-3
  • Introduction to graded geometry
    • Authors: Maxime Fairon
      Abstract: Abstract This paper aims at setting out the basics of \(\mathbb {Z}\) -graded manifolds theory. We introduce \(\mathbb {Z}\) -graded manifolds from local models and give some of their properties. The requirement to work with a completed graded symmetric algebra to define functions is made clear. Moreover, we define vector fields and exhibit their graded local basis. The paper also reviews some correspondences between differential \(\mathbb {Z}\) -graded manifolds and algebraic structures.
      PubDate: 2017-03-27
      DOI: 10.1007/s40879-017-0138-4
  • Families of exotic affine 3-spheres
    • Authors: Adrien Dubouloz
      Abstract: Abstract We construct algebraic families of exotic affine 3-spheres, that is, smooth affine threefolds diffeomorphic to a non-degenerate smooth complex affine quadric of dimension 3 but non-algebraically isomorphic to it. We show in particular that for every smooth topologically contractible affine surface S with trivial automorphism group, there exists a canonical smooth family of pairwise non-isomorphic exotic affine 3-spheres parametrized by the closed points of S.
      PubDate: 2017-03-22
      DOI: 10.1007/s40879-017-0136-6
  • Complete subgraphs of the coprime hypergraph of integers I: introduction
           and bounds
    • Authors: Jan-Hendrik de Wiljes
      Abstract: Abstract We introduce the uniform coprime hypergraph of integers \(\mathrm{CHI}_k\) which is the graph with vertex set \({\mathbb {Z}}\) and a -hyperedge exactly between every \(k+1\) elements of \({\mathbb {Z}}\) having greatest common divisor equal to 1. This generalizes the concept of coprime graphs. We obtain some basic properties of these graphs and give upper and lower bounds for the clique number of certain subgraphs of \(\mathrm{CHI}_k\) .
      PubDate: 2017-03-15
      DOI: 10.1007/s40879-017-0137-5
  • Universal $$\mathscr {D}$$ D -modules and stacks of étale germs of n
           -dimensional varieties
    • Authors: Emily Cliff
      Abstract: Abstract We introduce stacks classifying étale germs of pointed n-dimensional varieties. We show that quasi-coherent sheaves on these stacks are universal \(\mathscr {D}\) - and \(\mathscr {O}\) -modules. We state and prove a relative version of Artin’s approximation theorem, and as a consequence identify our stacks with classifying stacks of automorphism groups of the n-dimensional formal disc. We introduce the notion of convergent universal modules, and study them in terms of these stacks and the representation theory of the automorphism groups.
      PubDate: 2017-03-09
      DOI: 10.1007/s40879-017-0135-7
  • Néron models
    • Authors: Dino Lorenzini
      Abstract: Abstract Néron models were introduced by André Néron in his seminar at the IHÉS in 1961. This article gives a brief survey of past and recent results in this very useful theory.
      PubDate: 2017-03-01
      DOI: 10.1007/s40879-017-0134-8
  • Approximation forte pour les espaces homogènes de groupes semi-simples
           sur le corps des fonctions d’une courbe algébrique complexe
    • Authors: Jean-Louis Colliot-Thélène
      Abstract: Résumé Sur un corps de fonctions d’une variable sur le corps des complexes, l’approximation forte hors d’un ensemble fini non vide de places vaut pour tout espace homogène d’un groupe semi-simple simplement connexe. En particulier l’approximation forte hors d’un ensemble fini non vide de places vaut pour les quadriques affines lisses de dimension au moins 2 sur un tel corps. L’approximation forte hors d’un ensemble fini de places ne vaut pas pour le groupe multiplicatif.
      PubDate: 2017-02-28
      DOI: 10.1007/s40879-017-0133-9
  • Minors and resolutions of non-commutative schemes
    • Authors: Igor Burban; Yuriy Drozd; Volodymyr Gavran
      Abstract: Abstract We develop the theory of minors of non-commutative schemes. This study is motivated by applications in the theory of non-commutative resolutions of singularities of commutative schemes. In particular, we construct a categorical resolution for non-commutative curves and in the rational case show that it can be realized as the derived category of a quasi-hereditary algebra.
      PubDate: 2017-02-23
      DOI: 10.1007/s40879-017-0128-6
  • A scaling property of Farey fractions. Part III: representation formulas
    • Authors: Matthias Kunik
      Abstract: Abstract The Farey sequence of order n consists of all reduced fractions a / b between 0 and 1 with positive denominator b less or equal to n. The sums of the inverse denominators 1 / b of the Farey fractions in prescribed intervals with rational bounds have simple main terms, whereas the deviations are determined by a sequence of polygonal functions \(f_n\) . In a former paper we obtained a limit function for \(n \rightarrow \infty \) which describes an asymptotic scaling property of functions \(f_n\) in the vicinity of any fixed fraction a / b and which is independent of a / b. In this paper we derive new representation formulas for \(f_n\) and related functions which give much better remainder term estimates. We also combine these results with those from our previous papers in order to prove that the sequence of functions \(f_n\) converges pointwise to zero.
      PubDate: 2017-02-13
      DOI: 10.1007/s40879-017-0132-x
  • Minkowski’s theorem on independent conjugate units
    • Authors: Shabnam Akhtari; Jeffrey D. Vaaler
      Abstract: Abstract We call a unit \(\beta \) in a finite Galois extension \(l/\mathbb {Q}\) a Minkowski unit if the subgroup generated by \(\beta \) and its conjugates over \(\mathbb {Q}\) has maximum rank in the unit group of l. Minkowski showed the existence of such units in every Galois extension. We give a new proof of Minkowski’s theorem and show that there exists a Minkowski unit \(\beta \in l\) such that the Weil height of \(\beta \) is comparable with the sum of the heights of a fundamental system of units for l. Our proof implies a bound on the index of the subgroup generated by the algebraic conjugates of \(\beta \) in the unit group of l. If k is an intermediate field such that \(\mathbb {Q}\subseteq k \subseteq l\) , and \(l/\mathbb {Q}\) and \(k/\mathbb {Q}\) are Galois extensions, we prove an analogous bound for the subgroup of relative units. In order to establish our results for relative units, a number of new ideas are combined with techniques from the geometry of numbers and the Galois action on places.
      PubDate: 2017-02-10
      DOI: 10.1007/s40879-017-0131-y
  • On existence, non-existence and blow-up results for a singular semilinear
           Laplacian problem
    • Authors: Masoud Bayrami; Mahmoud Hesaaraki
      Abstract: Abstract We study the optimal value of p for solvability of the problem 1 Here \(\lambda ,\alpha >0\) , \(p>1\) , f is a non-negative measurable function and , \(N\geqslant 3\) , is an open bounded domain with smooth boundary such that \(0 \in \mathrm{\Omega }\) . We find the critical threshold exponent \(p_{+}(\lambda ,\alpha )\) for solvability of (1) and show that if , \(1<p<p_{+}(\lambda ,\alpha )\) and for some sufficiently small \(c_0>0\) , then there exists a solution as a limit of solutions to approximating problems. Moreover, for \(p \geqslant p_{+}(\lambda ,\alpha )\) we show that a complete blow-up phenomenon occurs.
      PubDate: 2017-02-03
      DOI: 10.1007/s40879-017-0129-5
  • Smooth rational surfaces violating Kawamata–Viehweg vanishing
    • Authors: Paolo Cascini; Hiromu Tanaka
      Abstract: Abstract We show that over any algebraically closed field of positive characteristic, there exists a smooth rational surface which violates Kawamata–Viehweg vanishing.
      PubDate: 2017-01-25
      DOI: 10.1007/s40879-016-0127-z
  • On hypergeometric identities related to zeta values
    • Authors: Raffaele Marcovecchio
      Abstract: Abstract Two linear forms, \(\sigma _n \zeta (5)+\tau _n \zeta (3)+\varphi _n\) and \(\sigma _n\zeta (2)+\tau _n/2\) , with suitable rational coefficients \(\sigma _n,\tau _n,\varphi _n\) , are presented. As a byproduct, we obtain an identity between simple and double binomial sums, where the simple sum is the value of a terminating well-poised Saalschützian \({}_4 F_3\) series. This complements a recent note of the author on two linear forms: \(\alpha _n \widetilde{\zeta }(4)+\beta _n \widetilde{\zeta }(2)+\gamma _n\) , based on an identity of Paule–Schneider, and \(\alpha _n\zeta (2)+\beta _n\) , coming from the Apéry–Beukers construction.
      PubDate: 2017-01-23
      DOI: 10.1007/s40879-016-0126-0
  • Amenable colorings
    • Authors: Shimon Garti
      Abstract: Abstract Let \(\kappa \) be any regular cardinal. Assuming the existence of a huge cardinal above \(\kappa \) , we prove the consistency of for every ordinal \(\tau <\kappa ^{++}\) . Likewise, we prove that is consistent when \(\mathscr {A}\) is strongly closed under countable intersections.
      PubDate: 2017-01-04
      DOI: 10.1007/s40879-016-0125-1
  • On the a -points of derivatives of the Riemann zeta function
    • Authors: Tomokazu Onozuka
      Abstract: Abstract We prove three results on the a-points of derivatives of the Riemann zeta function. The first result is a formula of the Riemann–von Mangoldt type; we estimate the number of a-points of derivatives of the Riemann zeta function. The second result is on certain exponential sum involving a-points. The third result is an analogue of the zero density theorem. We count the a-points of derivatives of the Riemann zeta function in \(1/2-(\log \log T)^2/\log T<\mathrm{Re}\, s<1/2+(\log \log T)^2/\log T\) .
      PubDate: 2016-12-20
      DOI: 10.1007/s40879-016-0124-2
  • Baire classification of fragmented maps and approximation of separately
           continuous functions
    • Authors: Olena Karlova; Volodymyr Mykhaylyuk
      Abstract: Abstract We study a class of fragmented maps which contains all barely continuous maps, scatteredly continuous maps and maps which are pointwise discontinuous on each closed set. We prove that for any Hausdorff space X, a metric space Z and a fragmented map \(f:X\rightarrow Z\) there exists a pointwisely convergent to f sequence of continuous functions \(f_n:X\rightarrow Z\) with an additional condition (which is a weakening of the uniform convergence at each point) in the following cases: (a) X is stratifiable and Z is locally convex equiconnected; (b) X is stratifiable with \(\dim X<\infty \) and Z is equiconnected; (c) X is stratifiable with \(\dim X=0\) . We show that for a hereditarily Baire space X, a compact space Y and a metric space Z every separately continuous map is a pointwise limit of a sequence of continuous maps which is uniformly convergent to f with respect to each variable at every point of in cases (a)–(c); (d) X is a perfect zero-dimensional compact space; and (e) X is the Sorgenfrey line.
      PubDate: 2016-12-05
      DOI: 10.1007/s40879-016-0123-3
  • Almost isomorphic abelian varieties
    • Authors: Yuri G. Zarhin
      Abstract: Abstract We study abelian varieties over finitely generated fields K of characteristic zero, whose \(\ell \) -adic Tate modules are isomorphic as Galois modules for all primes \(\ell \) .
      PubDate: 2016-11-30
      DOI: 10.1007/s40879-016-0122-4
  • Massey products in mapping tori
    • Authors: Andrei Pajitnov
      Abstract: Abstract Let \(\phi :M\rightarrow M\) be a diffeomorphism of a \(C^{\infty }\) compact connected manifold, and X its mapping torus. There is a natural fibration \(p:X\rightarrow S^1\) , denote by the corresponding cohomology class. Let \(\lambda \in {\mathbb {C}}^*\) . Consider the endomorphism \(\phi _k^*\) induced by \(\phi \) in the cohomology of M of degree k, and denote by \(J_k(\lambda )\) the maximal size of its Jordan block of eigenvalue \(\lambda \) . Define a representation \(\rho _\lambda :\pi _1(X)\rightarrow {\mathbb {C}}^*\) ; \(\rho _\lambda (g)=\lambda ^{p_*(g)}\) ; let \(H^*(X,\rho _\lambda )\) be the corresponding twisted cohomology of X. We prove that \(J_k(\lambda )\) is equal to the maximal length of a non-zero Massey product of the form \(\langle \xi , \ldots , \xi , a\rangle \) where \(a\in H^k(X,\rho _\lambda )\) (here the length means the number of entries of \(\xi \) ). In particular, if X is a strongly formal space (e.g. a Kähler manifold) then all the Jordan blocks of \(\phi _k^*\) are of size 1. If X is a formal space, then all the Jordan blocks of eigenvalue 1 are of size 1. This leads to a simple construction of formal but not strongly formal mapping tori. The proof of the main theorem is based on the fact that the Massey products of the above form can be identified with differentials in a Massey spectral sequence, which in turn can be explicitly computed in terms of the Jordan normal form of \(\phi ^*\) .
      PubDate: 2016-11-10
      DOI: 10.1007/s40879-016-0121-5
  • The quiver at the bottom of the twisted nilpotent cone on $$\mathbb P^1$$
           P 1
    • Authors: Steven Rayan
      Abstract: Abstract For the moduli space of Higgs bundles on a Riemann surface of positive genus, critical points of the natural Morse–Bott function lie along the nilpotent cone of the Hitchin fibration and are representations of \(\text{ A }\) -type quivers in a twisted category of holomorphic bundles. The critical points that globally minimize the function are representations of \(\text{ A }_1\) . For twisted Higgs bundles on the projective line, the quiver describing the bottom of the cone is more complicated. We determine it here. We show that the moduli space is topologically connected whenever the rank and degree are coprime, thereby verifying conjectural lowest Betti numbers coming from high-energy physics.
      PubDate: 2016-11-10
      DOI: 10.1007/s40879-016-0120-6
  • Local derivations on measurable operators and commutativity
    • Authors: Shavkat Ayupov; Karimbergen Kudaybergenov
      Abstract: Abstract We prove that a von Neumann algebra M is abelian if and only if the square of every derivation on the algebra S(M) of measurable operators affiliated with M is a local derivation. We also show that for general associative unital algebras this is not true.
      PubDate: 2016-10-24
      DOI: 10.1007/s40879-016-0118-0
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