Subjects -> MATHEMATICS (Total: 1013 journals)
    - APPLIED MATHEMATICS (92 journals)
    - GEOMETRY AND TOPOLOGY (23 journals)
    - MATHEMATICS (714 journals)
    - MATHEMATICS (GENERAL) (45 journals)
    - NUMERICAL ANALYSIS (26 journals)
    - PROBABILITIES AND MATH STATISTICS (113 journals)

MATHEMATICS (714 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)
Accounting Perspectives     Full-text available via subscription   (Followers: 4)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 13)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 5)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 44)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 2)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 3)
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: 9)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 6)
Advances in Catalysis     Full-text available via subscription   (Followers: 7)
Advances in Complex Systems     Hybrid Journal   (Followers: 10)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 16)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 4)
Advances in Fixed Point Theory     Open Access  
Advances in Geosciences (ADGEO)     Open Access   (Followers: 21)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 7)
Advances in Materials Science     Open Access   (Followers: 23)
Advances in Mathematical Physics     Open Access   (Followers: 6)
Advances in Mathematics     Full-text available via subscription   (Followers: 18)
Advances in Numerical Analysis     Open Access   (Followers: 4)
Advances in Operations Research     Open Access   (Followers: 13)
Advances in Operator Theory     Hybrid Journal  
Advances in Pure Mathematics     Open Access   (Followers: 10)
Advances in Science and Research (ASR)     Open Access   (Followers: 8)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 8)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 5)
Afrika Matematika     Hybrid Journal   (Followers: 2)
Air, Soil & Water Research     Open Access   (Followers: 7)
AKSIOMATIK : Jurnal Penelitian Pendidikan dan Pembelajaran Matematika     Open Access  
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Al-Qadisiyah Journal for Computer Science and Mathematics     Open Access   (Followers: 3)
AL-Rafidain Journal of Computer Sciences and Mathematics     Open Access   (Followers: 4)
Algebra and Logic     Hybrid Journal   (Followers: 9)
Algebra Colloquium     Hybrid Journal   (Followers: 3)
Algebra Universalis     Hybrid Journal   (Followers: 3)
Algorithmic Operations Research     Open Access   (Followers: 7)
Algorithms     Open Access   (Followers: 15)
Algorithms Research     Open Access   (Followers: 2)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 4)
American Journal of Mathematical Analysis     Open Access   (Followers: 1)
American Journal of Mathematical and Management Sciences     Hybrid Journal  
American Journal of Mathematics     Full-text available via subscription   (Followers: 8)
American Journal of Operations Research     Open Access   (Followers: 6)
American Mathematical Monthly     Full-text available via subscription   (Followers: 3)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 13)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access  
Analysis and Applications     Hybrid Journal   (Followers: 2)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 7)
Anargya : Jurnal Ilmiah Pendidikan Matematika     Open Access  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 3)
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: 3)
Annals of Data Science     Hybrid Journal   (Followers: 17)
Annals of Functional Analysis     Hybrid Journal   (Followers: 2)
Annals of Mathematics     Full-text available via subscription   (Followers: 5)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 13)
Annals of PDE     Hybrid Journal  
Annals of Pure and Applied Logic     Open Access   (Followers: 5)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access   (Followers: 1)
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access   (Followers: 1)
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: 5)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 17)
Applied Mathematics     Open Access   (Followers: 6)
Applied Mathematics     Open Access   (Followers: 6)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 7)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal   (Followers: 1)
Applied Mathematics and Nonlinear Sciences     Open Access   (Followers: 1)
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: 4)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 5)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 1)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 3)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 4)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 5)
Armenian Journal of Mathematics     Open Access  
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites     Open Access   (Followers: 22)
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  
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: 5)
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: 2)
Banach Journal of Mathematical Analysis     Hybrid Journal  
Basin Research     Hybrid Journal   (Followers: 6)
BIBECHANA     Open Access  
Biomath     Open Access  
BIT Numerical Mathematics     Hybrid Journal  
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  
British Journal for the History of Mathematics     Hybrid Journal   (Followers: 2)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 18)
British Journal of Mathematics & Computer Science     Full-text available via subscription   (Followers: 1)
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 3)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 3)
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: 4)
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics     Open Access  
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  
Calculus of Variations and Partial Differential Equations     Hybrid Journal   (Followers: 1)
Canadian Journal of Mathematics / Journal canadien de mathématiques     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 20)
Canadian Mathematical Bulletin     Hybrid Journal  
Carpathian Mathematical Publications     Open Access  
Catalysis in Industry     Hybrid Journal  
CAUCHY     Open Access   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 5)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 1)
Chaos, Solitons & Fractals : X     Open Access   (Followers: 1)
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  
CODEE Journal     Open Access  
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 3)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Hybrid Journal   (Followers: 3)
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 5)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 22)
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: 3)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 6)
Complex Analysis and its Synergies     Open Access   (Followers: 1)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Compositio Mathematica     Full-text available via subscription   (Followers: 2)
Comptes Rendus : Mathematique     Open Access  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 3)
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: 5)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 12)
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: 12)
Confluentes Mathematici     Hybrid Journal  
Constructive Mathematical Analysis     Open Access  
Contributions to Discrete Mathematics     Open Access  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal   (Followers: 1)
Cross Section     Full-text available via subscription   (Followers: 1)
Cryptography and Communications     Hybrid Journal   (Followers: 11)
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  
Daya Matematis : Jurnal Inovasi Pendidikan Matematika     Open Access  
Demographic Research     Open Access   (Followers: 14)
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 35)
Desimal : Jurnal Matematika     Open Access  
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 3)
Differentsial'nye Uravneniya     Open Access  
Digital Experiences in Mathematics Education     Hybrid Journal   (Followers: 3)
Discrete Mathematics     Hybrid Journal   (Followers: 7)
Discrete Mathematics & Theoretical Computer Science     Open Access   (Followers: 1)
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  
Doklady Akademii Nauk     Open Access  

        1 2 3 4 | Last

Similar Journals
Journal Cover
Acta Mathematica Hungarica
Journal Prestige (SJR): 0.452
Citation Impact (citeScore): 1
Number of Followers: 3  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1588-2632 - ISSN (Online) 0236-5294
Published by Springer-Verlag Homepage  [2467 journals]
  • Special noncancellative commutative semigroup operations on the real
           numbers and distribution

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      Abstract: Abstract Let R be the space of real numbers with the ordinary topology. Define \(x\star_{1} y = xy \,\,(x, y \in \mathbf{R})\) and \(x\star_{2} y = {\rm max}\{1, x\}+{\rm max}\{1, y\}\,\,(x, y \in \mathbf{R})\) . We show that there is no cancellative continuous semigroup operation which is distributed by \(\star_{i}\,\,(i=1,2)\) . Conversely we show that there is no cancellative continuous semigroup operation which is distributive over \(\star_{i}\,\,(i=1,2)\) . Moreover we discuss the above arguments for a null semigroup operation on R.
      PubDate: 2022-12-21
       
  • Explicit RIP matrices: an update

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      Abstract: Abstract Leveraging recent advances in additive combinatorics, we exhibit explicit matrices satisfying the Restricted Isometry Property with better parameters. Namely, for \(\varepsilon=3.26\cdot 10^{-7}\) , large \(k\) and \(k^{2-\varepsilon} \le N\le k^{2+\varepsilon}\) , we construct \(n \times N\) RIP matrices of order \(k\) with \(k = \Omega( n^{1/2+\varepsilon/4)}\) .
      PubDate: 2022-12-19
       
  • Functional inequalities associated with additive, quadratic and Drygas
           functional equations

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      Abstract: Abstract Let \(\mathcal{G}\) be an abelian group, \( \mathcal{A} \) a \( C^* \) -algebra and \( \mathcal{M} \) a pre-Hilbert \( \mathcal{A} \) -module with an \( \mathcal{A} \) -valued inner product \( \langle.,.\rangle \) . We show if a function \( f \colon \mathcal{G}\rightarrow \mathcal{M} \) satisfies the inequality $$ \langle f(x)+f(y),f(x)+f(y)\rangle \leq \langle f(x+y),f(x+y)\rangle,\quad x,y\in \mathcal{G}, $$ then \( f \) is additive. We also prove that for functions \( f \colon \mathcal{G}\rightarrow \mathcal{M} \) , the inequality $$\begin{aligned} & \langle 2f(x)+2f(y)-f(x-y),2f(x)+2f(y)-f(x-y)\rangle \\ &\quad\quad\quad\quad \leq \langle f(x+y),f(x+y)\rangle,\quad x,y\in \mathcal{G}, \end{aligned}$$ implies \( f \) is quadratic. These results enable us to prove the equivalence of a functional inequality and the Drygas functional equation. In addition, we investigate the stability problem associated with these functional inequalities. Finally, we give some examples of quadratic and Drygas functions.
      PubDate: 2022-12-19
       
  • Majorized multivalued maps, equilibrium and coincidence points in the
           topological vector space setting

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      Abstract: In this paper we begin by presenting an equilibrium result for abstract economies for majorized type maps defined on Hausdorff topological vector spaces. The ideas here motivate new results for maximal and coincidence points for collectively multivalued maps.
      PubDate: 2022-12-19
       
  • Existence of minima of functions in partial metric spaces and applications
           to fixed point theory

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      Abstract: Abstract We first provide new sufficient conditions for the existence of minima of functions defined on 0-complete partial metric spaces. We then apply the obtained results to derive some fixed point results for single-valued and set-valued mappings that improve and generalize several well-known results in the literature. Examples are given to illustrate our findings.
      PubDate: 2022-11-24
       
  • A convex set with a rich difference

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      Abstract: Abstract We construct a convex set A with cardinality 2n and with the property that an element of the difference set \(A-A\) can be represented in n different ways. We also show that this construction is optimal by proving that for any convex set A, the maximum possible number of representations an element of \(A-A\) can have is \(\lfloor A /2 \rfloor\) .
      PubDate: 2022-11-23
       
  • Comments on the paper “Best proximity point results for p-proximal
           contractions”

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      Abstract: Abstract Recently, Altun et al. [1] introduced the notion of p-proximal contractions and p-proximal contractive mappings and discussed about best proximity point results for this two classes of mappings. After that, Gabeleh and Markin [3] showed that the best proximity point theorem for p-proximal contractions proved in [1] follows from the same conclusion fixed point theory. In this short note, we show that the best proximity point theorem for p-proximal contractive mappings follows from the corresponding fixed point result for metric spaces.
      PubDate: 2022-11-23
       
  • A revisit to the atomic decomposition of weighted Hardy spaces

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      Abstract: Abstract The purpose of this paper is to present a new atomic decomposition for a dense class of weighted Hardy spaces \(H_{w}^{p}(\mathbb R^n)\) via the discrete Calderón-type reproducing formula and the weighted Littlewood–Paley–Stein theory, where \(w\in A_\infty\) is a Muckenhoupt's weight and \(0<p<\infty\) . Our results can recover and improve the known ones in the literature by avoiding using the maximal function characterization and the Calderón–Zygmund decomposition. Moreover, we give a new proof of the weighted Hardy spaces estimates for generalized Calderón–Zygmund operators in terms of the atomic decomposition and the vector-valued singular integral operator theory. Although the theory of \(H_{w}^{p}(\mathbb R^n)\) is well known, we give new and simpler proofs, which in turn is amenable to utilization in general and nonclassical settings.
      PubDate: 2022-11-23
       
  • Almost simple linear graphs, homology cobordism and connected Heegaard
           Floer homology

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      Abstract: Abstract Continuing our previous work in [23], we effectively compute connected Heegaard Floer homologies of two families of Brieskorn spheres realized as the boundaries of almost simple linear graphs. Using Floer theoretic invariants of Dai, Hom, Stoffregen, and Truong [6], we show that these Brieskorn spheres also generate infinite rank summands in the homology cobordism group. Our computations also have applications to the concordance of classical knots and 0-concordance of 2-knots.
      PubDate: 2022-11-23
       
  • Hindman’s theorem and choice

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      Abstract: Abstract In ZF (i.e. the Zermelo–Fraenkel set theory without the Axiom of Choice (AC)), we investigate the set-theoretic strength of a generalized version of Hindman's theorem and of certain weaker forms of this theorem, which were introduced by Fernández-Bretón [8], with respect to their interrelation with several weak choice principles. In this direction, we determine the status of (this general version of) Hindman's theorem (and of weaker forms) in certain permutation models of \(\mathbf{ZFA} + \neg\mathbf{AC}\) and transfer the results to ZF, strengthen some results of [8] and settle a related open problem from Howard and Rubin [10]; thus filling the gap in information in both [8] and [10].
      PubDate: 2022-11-23
       
  • On the growth of polynomials

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      Abstract: Abstract The Erdős–Lax Theorem states that, if P(z) is a polynomial of degree n having no zeros in \( z <1\) , then $$\max_{ z =1} P'(z) \leq \frac{n}{2}\max_{ z =1} P(z) .$$ The problem of generalizing the Erdős–Lax Theorem to the class of polynomials having no zeros in \( z <K, K\leq 1\) is still not settled. Motivated by the above open problem, in this paper we prove some inequalities for a class of polynomials having no zeros in \( z <K, K\leq 1\) , and all these zeros lie either on a ray L emanating from the origin or zeros are symmetrically placed along this line L. Several important consequences are also discussed. Our results are the best possible and examples for the equality cases have been presented.
      PubDate: 2022-11-21
       
  • Some novel identities for analogues of Dedekind sums, Hurwitz
           zeta-function and general Kloosterman sum

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      Abstract: Abstract We discuss two hybrid mean value problems by using the properties of Dirichlet L-functions. The first one is involving a new sum analogue of Dedekind sum and Hurwitz zeta-function, while the second is about Hardy sum S5(h, p) and general Kloosterman sum \(K( n,r,\lambda;p) \) , attached a Dirichlet character \(\lambda\) modulo p. Consequently, we give several exact computational formulas, which generalize some conclusions of this context.
      PubDate: 2022-11-21
       
  • On the complete convergence and strong law for dependent random variables
           with general moment conditions

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      Abstract: Abstract Let \(\{a_{n}, n \geq 1\}\) be a sequence of positive numbers and \(\{X, X_{n}, n \geq 1\}\) be a sequence of identically distributed random variables. The strong law of large numbers and complete convergence for the partial sums of the random sequence \(\{X, X_{n}, n \geq 1\}\) are established under the mild moment condition \(\sum\nolimits^{\infty}_{n=1} \mathbb{P}( X > a_{n})<\infty\) and under general dependence conditions. These results generalize and extend some known works.
      PubDate: 2022-11-21
       
  • Exponential sums with coefficients of the logarithmic derivative of
           automorphic $$L$$ -functions and applications

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      Abstract: Abstract Let \(\Lambda_{\pi}(n)\) denote the \(n\) th coefficient in the Dirichlet series expansion of the logarithmic derivative of \(L(s,\pi)\) associated with an automorphic irreducible cuspidal representation of \(\mathrm{GL}_{m}\) over \(\mathbb{Q}\) . In this paper, for all \(\alpha\) of irrational type 1 lying in the interval \([0,1]\) , we investigate the best possible estimate for the sum \(\sum _{n\le x} \Lambda_{\pi}(n)e(n\alpha)\) under a certain assumption. And we consider the metric result on the exponential sum involving automorphic \(L\) -functions without any assumptions. Let \(\Lambda(n)\) be the von Mangoldt function. Then as an application, for \(\varepsilon>0\) and all \(0<\alpha<1\) in a set of full Lebesgue measure (depending on \(\pi\) ), we obtain \(\sum _{n\le x} \Lambda(n)\lambda_{\pi}(n)e(n\alpha)=O(x^{\frac{5}{6}+\varepsilon})\) .
      PubDate: 2022-11-21
       
  • New characterizations of the set-valued solutions for a class of
           functional equations with involutions

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      Abstract: Abstract The aim of this paper is to obtain some characterizations (or representations) of set-valued solutions defined on an Abelian monoid with values in a Hausdorff topological vector space of a new class of functional equations.
      PubDate: 2022-11-21
       
  • Spatial-temporal differentiation theorems

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      Abstract: Abstract Let \((X, \mathcal{B}, \mu, T)\) be a dynamical system where X is a compact metric space with Borel \(\sigma\) -algebra \(\mathcal{B}\) , and \(\mu\) is a probability measure that is ergodic with respect to the homeomorphism \(T \colon X \to X\) . We study the following differentiation problem: Given \(f \in C(X)\) and \(F_k \in \mathcal{B}\) , where \(\mu(F_k) > 0\) and \(\mu(F_k) \to 0\) , when can we say that $$\lim_{k \to \infty} \frac{\int_{F_k} ( \frac{1}{k} \sum_{i = 0}^{k - 1} T^i f ) \, \, \mathrm{d} \mu}{\mu(F_k)} = \int f \, \mathrm{d} \mu \ '$$ We establish some sufficient conditions for these sequences to converge.
      PubDate: 2022-11-21
       
  • S-parts of sums of terms of linear recurrence sequences

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      Abstract: Abstract Let \(S= \{ p_1, \ldots, p_s\}\) be a finite, non-empty set of distinct prime numbers and \((U_{n})_{n \geq 0}\) be a linear recurrence sequence of integers of order at least 2. For any positive integer k, and \(w = (w_k, \ldots, w_1)\in\mathbb{Z}^k, w_1, \ldots, w_k\neq 0\) we define \((U_j^{(k, w)})_{j\geq 1}\) an increasing sequence composed of integers of the form \( w_kU_{n_k} +\cdots + w_1U_{n_1} \) , \( n_k>\cdots >n_1\) . Under certain assumptions, we prove that for any \(\varepsilon >0\) , there exists an integer \(n_{0}\) such that \([U_j^{(k,w)}]_S < (U_j^{(k, w)})^{\varepsilon},\) \({\rm for}\, j > n_0\) , where \([m]_S\) denotes the S-part of the positive integer m. On further assumptions on \((U_{n})_{n \geq 0}\) , we also compute an effective bound for \([U_j^{(k, w)}]_S\) of the form \((U_j^{(k,w)})^{1-c}\) , where c is a positive constant depending only on r, \(a_1\) , . . ., \(a_r\) , \(U_0\) , . . ., \(U_{r-1}\) , \(w_1\) , . . ., \(w_k\) and S.
      PubDate: 2022-11-21
       
  • Applying extremal graph theory to a question on finite groups

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      Abstract: Abstract A word \(w\in F_r\) is said to satisfy a probability gap if there exists a constant \(\delta_w < 1\) such that, for any finite group \(G\) , if the probability that \(w(g_1, g_2, \ldots, g_r)= 1\) in \(G\) is at least \(\delta_w\) , then \(w\) is an identity in \(G\) . Moreover we saythat a group \(G\) has the \(w_t\) -property if however \(r\) subsets \(X_1, . . . ,X_r\) of \(G\) are chosen with \( X_1 = \cdots = X_r =t\) , there exists \((g_1, \ldots,g_r)\in X_1 \times \cdots \times X_r\) such that \(w(g_1, \ldots,g_r)=1\) . We prove that if \(w\) satisfies a probability gap, then for every positive integer \(t\) there exists a constant \(c_t\) such that if a finite group \(G\) satisfies the \(w_t\) -property, then \( G \leq c_t\) or \(w\) is an identity in \(G\) .
      PubDate: 2022-10-01
       
  • Intersecting families with sunflower shadows

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      Abstract: Abstract A family \(\mathcal F\) of k-subsets of { \(1,2,\ldots,n\) } is called t-intersecting if \( F\cap F' \geq t\) for all \(F,F'\in \mathcal F\) . A set E is called an r-sunflower shadow of \(\mathcal F\) if one can choose r members \(F_1, F_2, \dots, F_r\) of \(\mathcal F\) containing E and \(F_1\setminus E,\, F_2\setminus E,\dots, {F_r\setminus E}\) are pairwise disjoint. Let $$\mathcal D(n,k,t,\ell,r)= \Big\{D\in \bigl({{[n]}\atop {k}} \bigr) : D\cap [t+(2r-2)\ell] \geq t+(r-1)\ell\Big\}. $$ Motivated by our recent work [6] on intersecting families without unique shadow, we show that for \(\ell\leq t,\, k\geq t+(r-1)\ell\) and \(n\geq n_0(k),\, \mathcal D(n,k,t,\ell,r)\) is the only family attaining the maximum size among all t-intersecting families with all their \(\ell\) th shadows being r-sunflower.
      PubDate: 2022-10-01
       
  • On the generalized Bassian property for Abelian groups

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      Abstract: Abstract The property that we have termed generalized Bassian is a natural concept for many areas of algebra, namely the existence of an injective homomorphism \(A\to A/I\) for an object (group, ring, module, algebra, etc.) \(A\) with a normal sub-object \(I\) (normal subgroup, ideal, submodule, etc.) forces that \(I\) is a direct summand of \(A\) . It is a common generalization of the question is it possible to embed an object (group, ring, module, algebra, etc.) in a proper homomorphic image of itself, originally raised by Bass [3]. Here we study the generalized concept for Abelian groups and achieve a certain deep although not complete characterization of all Abelian groups satisfying this generalized property.
      PubDate: 2022-10-01
       
 
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