期刊： PERIODICA MATHEMATICA HUNGARICA, ; ()
In this note we confirm two conjectural supercongruences of double sums of binomial coefficients due to El Bachraoui.
期刊： PERIODICA MATHEMATICA HUNGARICA, ; ()
Let d(n) be the divisor function and denote by [t] the integral part of the real number t. In this short note, we prove that Sigma(n <= x) d([x/n])......
期刊： PERIODICA MATHEMATICA HUNGARICA, 2020; 81 (2)
Let a > 1, b be two positive integers where the square-free part of b is 2pq with p, q two distinct odd primes. Recently, Cipu (Proc Am Math Soc 14......
期刊： PERIODICA MATHEMATICA HUNGARICA, 2020; 81 (1)
In this paper we studyq-analogues of Euler sums and present a new family of identities by using the method of Jacksonq-integral representations of ser......
期刊： PERIODICA MATHEMATICA HUNGARICA, 2020; 80 (1)
Lawson has obtained an Ehresmann-Schein-Nambooripad theorem (ESN theorem for short) for Ehresmann semigroups which states that the category of Ehresma......
期刊： PERIODICA MATHEMATICA HUNGARICA, 2020; 80 (1)
Let m, n be positive integers such that m > n, gcd(m,n) = 1 and m not equivalent to n(mod2) . In 1956, L. Jesmanowicz conjectured that the equation......
期刊： PERIODICA MATHEMATICA HUNGARICA, 2020; 81 (1)
In this paper, we give some fundamental equations of curvature tensors on Berwald submersions, which imply the relationship of flag curvatures of the ......
期刊： PERIODICA MATHEMATICA HUNGARICA, 2020; 81 (2)
We establish an interpolation result for the rearrangement-invariant martingale Hardy spaces. By using this interpolation result, we extend the mappin......
期刊： PERIODICA MATHEMATICA HUNGARICA, 2020; 81 (1)
First, we prove that the Diophantine system f (z) = f (x) + f (y) = f (u) - f (v) = f (p) f (q) has infinitely many integer solutions for f (X) = X(X ......
期刊： PERIODICA MATHEMATICA HUNGARICA, 2020; 81 (2)
Let (m, n) be fixed positive integers such that m > n, gcd(m, n) = 1 and mn = 0 (mod 2). Then the triple (m2-n2, 2mn, m2+n2) is called a primitive ......
期刊： PERIODICA MATHEMATICA HUNGARICA, 2020; 80 (1)
Let f is an element of Q[x] be a polynomial without multiple roots and degf >= 2. We give conditions for f=x2+bx+cunder which the Diophantine equat......
期刊： PERIODICA MATHEMATICA HUNGARICA, 2020; 80 (1)
We consider the functional equation G, posed in Jarczyk and Jarczyk (Aequ Math 72:198-200, 2006). We show that every continuous and reducible solution......
期刊： PERIODICA MATHEMATICA HUNGARICA, 2019; 79 (2)
Let (p) over bar (n) denote the number of overpartitions of n. Recently, numerous congruences modulo powers of 2, 3 and 5 were established regarding (......
期刊： PERIODICA MATHEMATICA HUNGARICA, 2019; 79 (2)
In this paper, we show that for T is an element of B(H), if M is almost-invariant for T, then every maximal almost-invariant subspace of M is of codim......
期刊： PERIODICA MATHEMATICA HUNGARICA, 2019; 79 (2)
In this article, we study Einstein-Weyl structures on almost cosymplectic manifolds. First we prove that an almost cosymplectic (kappa, mu)-manifold i......
