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)            First | 1 2 3 4
 Showing 601 - 538 of 538 Journals sorted alphabetically Results in Control and Optimization Results in Mathematics Results in Nonlinear Analysis Review of Symbolic Logic       (Followers: 2) Reviews in Mathematical Physics       (Followers: 1) Revista Baiana de Educação Matemática Revista Bases de la Ciencia Revista BoEM - Boletim online de Educação Matemática Revista Colombiana de Matemáticas       (Followers: 1) Revista de Ciencias Revista de Educación Matemática Revista de la Escuela de Perfeccionamiento en Investigación Operativa Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas Revista de Matemática : Teoría y Aplicaciones       (Followers: 1) Revista Digital: Matemática, Educación e Internet Revista Electrónica de Conocimientos, Saberes y Prácticas Revista Integración : Temas de Matemáticas Revista Internacional de Sistemas Revista Latinoamericana de Etnomatemática Revista Latinoamericana de Investigación en Matemática Educativa Revista Matemática Complutense Revista REAMEC : Rede Amazônica de Educação em Ciências e Matemática Revista SIGMA Ricerche di Matematica RMS : Research in Mathematics & Statistics Royal Society Open Science       (Followers: 7) Russian Journal of Mathematical Physics Russian Mathematics Sahand Communications in Mathematical Analysis Sampling Theory, Signal Processing, and Data Analysis São Paulo Journal of Mathematical Sciences Science China Mathematics       (Followers: 1) Science Progress       (Followers: 1) Sciences & Technologie A : sciences exactes Selecta Mathematica       (Followers: 1) SeMA Journal Semigroup Forum       (Followers: 1) Set-Valued and Variational Analysis SIAM Journal on Applied Mathematics       (Followers: 11) SIAM Journal on Computing       (Followers: 11) SIAM Journal on Control and Optimization       (Followers: 18) SIAM Journal on Discrete Mathematics       (Followers: 8) SIAM Journal on Financial Mathematics       (Followers: 3) SIAM Journal on Mathematics of Data Science       (Followers: 1) SIAM Journal on Matrix Analysis and Applications       (Followers: 3) SIAM Journal on Optimization       (Followers: 12) Siberian Advances in Mathematics Siberian Mathematical Journal Sigmae SILICON SN Partial Differential Equations and Applications Soft Computing       (Followers: 7) Statistics and Computing       (Followers: 14) Stochastic Analysis and Applications       (Followers: 3) Stochastic Partial Differential Equations : Analysis and Computations       (Followers: 2) Stochastic Processes and their Applications       (Followers: 6) Stochastics and Dynamics       (Followers: 2) Studia Scientiarum Mathematicarum Hungarica       (Followers: 1) Studia Universitatis Babeș-Bolyai Informatica Studies In Applied Mathematics       (Followers: 1) Studies in Mathematical Sciences       (Followers: 1) Superficies y vacio Suska Journal of Mathematics Education       (Followers: 1) Swiss Journal of Geosciences       (Followers: 1) Synthesis Lectures on Algorithms and Software in Engineering       (Followers: 2) Synthesis Lectures on Mathematics and Statistics       (Followers: 1) Tamkang Journal of Mathematics Tatra Mountains Mathematical Publications Teaching Mathematics       (Followers: 10) Teaching Mathematics and its Applications: An International Journal of the IMA       (Followers: 4) Teaching Statistics       (Followers: 8) Technometrics       (Followers: 8) The Journal of Supercomputing       (Followers: 1) The Mathematica journal The Mathematical Gazette       (Followers: 1) The Mathematical Intelligencer The Ramanujan Journal The VLDB Journal       (Followers: 2) Theoretical and Mathematical Physics       (Followers: 7) Theory and Applications of Graphs Topological Methods in Nonlinear Analysis Transactions of the London Mathematical Society       (Followers: 1) Transformation Groups Turkish Journal of Mathematics Ukrainian Mathematical Journal Uniciencia Uniform Distribution Theory Unisda Journal of Mathematics and Computer Science Unnes Journal of Mathematics       (Followers: 1) Unnes Journal of Mathematics Education       (Followers: 2) Unnes Journal of Mathematics Education Research       (Followers: 1) Ural Mathematical Journal Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki Vestnik St. Petersburg University: Mathematics VFAST Transactions on Mathematics       (Followers: 1) Vietnam Journal of Mathematics Vinculum Visnyk of V. N. Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics       (Followers: 2) Water SA       (Followers: 1) Water Waves Zamm-Zeitschrift Fuer Angewandte Mathematik Und Mechanik       (Followers: 1) ZDM       (Followers: 2) Zeitschrift für angewandte Mathematik und Physik       (Followers: 2) Zeitschrift fur Energiewirtschaft Zetetike

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Similar Journals
 The Ramanujan JournalJournal Prestige (SJR): 1.108 Citation Impact (citeScore): 1Number of Followers: 0      Hybrid journal (It can contain Open Access articles) ISSN (Print) 1572-9303 - ISSN (Online) 1382-4090 Published by Springer-Verlag  [2469 journals]
• Siegel modular forms of degree two and level five

Abstract: Abstract We construct a ring of meromorphic Siegel modular forms of degree 2 and level 5, with singularities supported on an arrangement of Humbert surfaces, which is generated by four singular theta lifts of weights 1, 1, 2, 2 and their Jacobian. We use this to prove that the ring of holomorphic Siegel modular forms of degree 2 and level $$\Gamma _0(5)$$ is minimally generated by eighteen modular forms of weights 2, 4, 4, 4, 4, 4, 6, 6, 6, 6, 10, 11, 11, 11, 13, 13, 13, 15.
PubDate: 2022-08-04

• On holomorphic theta functions associated with rank r isotropic discrete
subgroups

Abstract: Abstract We investigate some basic analytic properties of the $$L^2$$ -holomorphic automorphic functions on a g-complex vector space associated with isotropic discrete subgroups $$\Gamma _r$$ of rank $$r\le g$$ . We show that each of these spaces form an infinite dimensional reproducing kernel Hilbert space which looks like a tensor product of a theta Bargmann–Fock space on $$Span_{{\mathbb {C}}}(\Gamma _r)$$ and the classical Bargmann–Fock space on a $$(g-r)$$ -complex space. An explicit orthonormal basis using Fourier series is constructed and the explicit expression of its reproducing kernel function is given in terms of several variables Riemann theta function of particular characteristics.
PubDate: 2022-08-03

• Sums of the kth divisor function of the ternary quadratic with prime
variables

Abstract: Abstract Let $$d_k(n)$$ denote the kth divisor function. In this paper, we proved that the sum \begin{aligned} \sum _{1\le p_1,p_2,p_3\le X}d_k(p_1^2+p_2^2+p_3^2) \end{aligned} has an asymptotic formula, where $$p_1,p_2,p_3$$ are primes and $$k\ge 2$$ is an integer.
PubDate: 2022-08-01

• Congruences for dimensions of spaces of Siegel cusp forms and 4-core
partitions

Abstract: Abstract Using the relationship between Siegel cusp forms of degree 2 and cuspidal automorphic representations of $$\mathrm{GSp}(4,{\mathbb A}_{{\mathbb Q}})$$ , we derive some congruences involving dimensions of spaces of Siegel cusp forms of degree 2 and the class number of $${\mathbb Q}(\sqrt{-p})$$ . We also obtain some congruences between the 4-core partition function $$c_4(n)$$ and dimensions of spaces of Siegel cusp forms of degree 2.
PubDate: 2022-08-01

• Identities and inequalities for the $$M_2$$ M 2 -rank of partitions
without repeated odd parts modulo 8

Abstract: Abstract In 2002, Berkovich and Garvan introduced the $$M_2$$ -rank of partitions without repeated odd parts. Let $$N_2(a, M, n)$$ denote the number of partitions of n without repeated odd parts in which $$M_2$$ -rank is congruent to a mod M. Lovejoy and Osburn, and Mao found a number of nice results for $$M_2$$ -rank differences modulo 3, 5, 6, and 10. In this paper, by using some properties for Appell–Lerch sums, we establish the generating functions for $$N_2(a,8,n)$$ with $$0\le a \le 7$$ . With these generating functions, we obtain some equalities and inequalities on $$M_2$$ -rank modulo 8 of partitions without repeated odd parts. We also relate some differences of the $$M_2$$ -rank to eighth-order mock theta functions.
PubDate: 2022-08-01

• The Prouhet–Tarry–Escott problem, indecomposability of polynomials and
Diophantine equations

Abstract: Abstract In this paper, we show how the subjects mentioned in the title are related. First we study the structure of partitions of $$A \subseteq \{1, \dots , n\}$$ in k-sets such that the first $$k-1$$ symmetric polynomials of the elements of the k-sets coincide. Then we apply this result to derive a decomposability result for the polynomial $$f_A(x) := \prod _{x \in A} (x-a)$$ . Finally we prove two theorems on the structure of the solutions (x, y) of the Diophantine equation $$f_A(x)=P(y)$$ where $$P(y)\in \mathbb {Q}[y]$$ and on shifted power values of $$f_A(x)$$ .
PubDate: 2022-08-01

• On a ternary Diophantine equation involving fractional powers with prime
variables of a special form

Abstract: Abstract Let N be a sufficiently large real number. In this paper, it is proved that, for $$1<c<\frac{2173}{1930}$$ , the Diophantine equation \begin{aligned} \left[ p_1^c\right] +\left[ p_2^c\right] +\left[ p_3^c\right] =N \end{aligned} is solvable in prime variables $$p_1,p_2,p_3$$ such that each of the numbers $$p_i+2\,(i=1,2,3)$$ has at most $$[\frac{11387}{4346-3860c}]$$ prime factors, counted according to multiplicity. This result constitutes a large improvement upon the previous result of Petrov (God Sofiĭ Univ “Sv Kliment Okhridski” Fac Mat Inform 104:171–183, 2017).
PubDate: 2022-08-01

• A harmonic mean inequality for the q-gamma function

Abstract: Abstract In 1984, Kairies proved that for all positive real numbers x the geometric mean of $$\Gamma _q(x)$$ and $$\Gamma _q(1/x)$$ is greater than or equal to 1, that is, \begin{aligned} 1\le \sqrt{\Gamma _q(x)\Gamma _q(1/x)} \quad (0<q\ne 1), \end{aligned} where $$\Gamma _q$$ denotes the q-gamma function. This result can be improved if $$q\in (0,1)$$ . We show that for all $$x>0$$ the harmonic mean of $$\Gamma _q(x)$$ and $$\Gamma _q(1/x)$$ is greater than or equal to 1, that is, \begin{aligned} 1\le \frac{2}{1/\Gamma _q(x)+1/\Gamma _q(1/x)} \quad (0<q<1) \end{aligned} with equality if and only if $$x=1$$ .
PubDate: 2022-08-01

• The sum of divisors function and the Riemann hypothesis

Abstract: Abstract Let $$\sigma (n)=\sum _{d\mid n}d$$ be the sum of divisors function and $$\gamma =0.577\ldots$$ the Euler constant. In 1984, Robin proved that, under the Riemann hypothesis, $$\sigma (n)/n < e^\gamma \log \log n$$ holds for $$n > 5040$$ and that this inequality is equivalent to the Riemann hypothesis. Under the Riemann hypothesis, Ramanujan gave the asymptotic upper bound \begin{aligned} \frac{\sigma (n)}{n}\leqslant e^\gamma \Big (\log \log n- \frac{2(\sqrt{2}-1)}{\sqrt{\log n}}+S_1(\log n)+ \frac{\mathcal {O}(1)}{\sqrt{\log n}\log \log n} \Big ) \end{aligned} with $$S_1(x)=\sum _\rho x^{\rho -1}/(\rho (1-\rho ))= \sum _\rho x^{\rho -1}/ \rho ^2$$ where $$\rho$$ runs over the non-trivial zeros of the Riemann $$\zeta$$ function. In this paper, an effective form of the asymptotic upper bound of Ramanujan is given, which provides a slightly better upper bound for $$\sigma (n)/n$$ than Robin’s inequality.
PubDate: 2022-08-01

• Generalizations of Alladi’s formula for arithmetical semigroups

Abstract: Abstract In this article, we prove that a general version of Alladi’s formula with Dirichlet convolution holds for arithmetical semigroups satisfying Axiom A or Axiom $$A^{\#}$$ . As applications, we apply our main results to certain semigroups coming from algebraic number theory, arithmetical geometry, and graph theory.
PubDate: 2022-08-01

• Remarks on Askey–Wilson polynomials and Meixner polynomials of the
second kind

Abstract: Abstract The purpose of this note is to characterize all the sequences of orthogonal polynomials $$(P_n)_{n\ge 0}$$ such that \begin{aligned} \frac{\triangle }{\mathbf{\triangle } x(s-1/2)}P_{n+1}(x(s-1/2))=c_n(\triangle +2\,\mathrm {I})P_n(x(s-1/2)), \end{aligned} where $$\,\mathrm {I}$$ is the identity operator, x defines a class of lattices with, generally, nonuniform step-size, and $$\triangle f(s)=f(s+1)-f(s)$$ . The proposed method can be applied to similar and to more general problems involving the mentioned operators, in order to obtain new characterization theorems for some specific families of classical orthogonal polynomials on lattices.
PubDate: 2022-08-01

• Modular forms and ellipsoidal T-designs

Abstract: Abstract In recent work, Miezaki introduced the notion of a spherical T-design in $$\mathbb {R}^2$$ , where T is a potentially infinite set. As an example, he offered the $$\mathbb {Z}^2$$ -lattice points with fixed integer norm (a.k.a. shells). These shells are maximal spherical T-designs, where $$T=\mathbb {Z}^+\setminus 4\mathbb {Z}^+$$ . We generalize the notion of a spherical T-design to special ellipses, and extend Miezaki’s work to the norm form shells for rings of integers of imaginary quadratic fields with class number 1.
PubDate: 2022-08-01

• Hecke-type triple sums associated with mock theta functions

Abstract: Abstract In this paper, we obtain some Hecke-type triple sums for the third-order mock theta function $$\omega (q)$$ and the fifth-order mock theta functions $$\chi _0(q)$$ , $$\chi _1(q)$$ . In addition, we extend this topic to the generating function of $$S^{*}(n)$$ due to Andrews, Dyson, and Hickerson by investigating its new alternative representation.
PubDate: 2022-08-01

• Weight 2 CM newforms as p-adic limits

Abstract: Abstract Previous works have shown that certain weight 2 newforms are p-adic limits of weakly holomorphic modular forms under repeated application of the U-operator. The proofs of these theorems originally relied on the theory of harmonic Maass forms. Ahlgren and Samart obtained strengthened versions of these results using the theory of holomorphic modular forms. Here, we use such techniques to express all weight 2 CM newforms which are eta quotients as p-adic limits. In particular, we show that these forms are p-adic limits of the derivatives of the Weierstrass mock modular forms associated to their elliptic curves.
PubDate: 2022-08-01

• On the total number of parts functions associated with ranks of partitions
modulo 5 and 7

Abstract: Abstract Recently, Andrews proved congruences for the total number of parts functions associated with ranks of partitions modulo 5 and 7. In this paper, applying the method of Atkin and Swinnerton-Dyer, we establish identities for these functions from which Andrews’ congruences modulo 5 follow immediately. In particular, the generating functions for total number parts functions associated with ranks of partitions modulo 7 turn out to be theta-functions.
PubDate: 2022-08-01

• On the average number of subgroups of the group $${\mathbb {Z}}_m \times {\mathbb {Z}}_n$$ Z m × Z n with k-th power sequence

Abstract: Abstract Let $$\mathbb {Z}_{n}$$ be the additive group of residue classes modulo n. Let s(m, n) denote the total number of subgroups of the group $$\mathbb {Z}_{m} \times \mathbb {Z}_{n}$$ , where m and n are arbitrary positive integers. Let $$k\ge 2$$ be a fixed integer, we consider the k-th power sequence. For $$x\ge 1$$ , define \begin{aligned} S_{k}(x):=\sum _{m,n \le x}s(m^{k},n^{k}). \end{aligned} In this paper, we obtain an asymptotic formula of $$S_{k}(x)$$ by using a multidimensional Perron formula and the complex integration method.
PubDate: 2022-08-01

• Exterior square gamma factors for cuspidal representations of $$\mathrm {GL}_n$$ GL n : simple supercuspidal representations

Abstract: Abstract We compute the local twisted exterior square gamma factors for simple supercuspidal representations, using which we prove a local converse theorem for simple supercuspidal representations.
PubDate: 2022-08-01

• On the distribution of the zeros of Eisenstein series for $$\Gamma _0^*(5)$$ Γ 0 ∗ ( 5 ) and $$\Gamma _0^*(7)$$ Γ 0 ∗ ( 7 )

Abstract: Abstract The goal of the present paper is to show that all the zeros of the Eisenstein series for $$\Gamma _0^*(5)$$ and $$\Gamma _0^*(7)$$ on the standard fundamental domain lie on the lower boundary arcs. These are improvements of the results in Shigezumi (Kyushu J Math 61:527–549, 2007).
PubDate: 2022-08-01

• On Y-coordinates of Pell equations which are Lucas numbers

Abstract: Abstract Let $$d\ge 2$$ be an integer which is not a square. We show that if $$(L_n)_{n\ge 0}$$ is the Lucas sequence and $$(X_m,Y_m)_{m \ge 1}$$ is the mth solution of the Pell equation $$X^2-dY^2=\pm 1$$ , then the equation $$Y_m=L_n$$ has at most two positive integer solutions (m, n) except for $$d=2$$ when it has the three solutions $$(m,n)=(1,1),~(2,0),~(5,7)$$ .
PubDate: 2022-07-31

• Multiplicative functions supported on the k-free integers with small
partial sums

Abstract: Abstract We provide examples of multiplicative functions f supported on the k-free integers such that at primes $$f(p)=\pm 1$$ and such that the partial sums of f up to x are $$o(x^{1/k})$$ . Further, if we assume the Generalized Riemann Hypothesis, then we can improve the exponent 1/k: There are examples such that the partial sums up to x are $$o(x^{1/(k+\frac{1}{2})+\epsilon })$$ , for all $$\epsilon >0$$ . This generalizes to the k-free integers the results of Aymone (J. Number Theory, 212:113-121, 2020).
PubDate: 2022-07-31

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