期刊: PUBLICATIONES MATHEMATICAE-DEBRECEN, 2021; 98 (3-4)
In this paper, we consider a family of elliptic curves over the rational numbers which arise from a well-known problem of Zagier. The main result is t......
期刊: PUBLICATIONES MATHEMATICAE-DEBRECEN, 2021; 98 (3-4)
In this paper, we prove a uniqueness theorem for holomorphic curves from the disc into the complex projective space sharing hyperplanes in general pos......
期刊: PUBLICATIONES MATHEMATICAE-DEBRECEN, 2021; 99 (1-2)
Four points ordered in the positive order on the unit circle determine the vertices of a quadrilateral, which is considered either as a euclidean or a......
期刊: PUBLICATIONES MATHEMATICAE-DEBRECEN, 2021; 98 (3-4)
For any positive integer m, let Z(m) be the set of residue classes modulo m. For A subset of Z(m) and (n) over bar is an element of Z(m), let R-A((n) ......
期刊: PUBLICATIONES MATHEMATICAE-DEBRECEN, 2021; 98 (3-4)
The Apery numbers A(n) and the Franel numbers f(n) are defined by A(n) = Sigma(n)(k=0)(n + k/2k)(2) (2k/k)(2) and f(n) = Sigma(n)(k=0)(n/k)(3) (n = 0,......
期刊: PUBLICATIONES MATHEMATICAE-DEBRECEN, 2021; 98 (3-4)
Let p(k) be the k-th prime number, and let v(p)(n) be the p-adic valuation of a positive integer n. Recently, Yang, Luca and Togbe proved that v(p) ((......
期刊: PUBLICATIONES MATHEMATICAE-DEBRECEN, 2021; 98 (3-4)
In this paper, we consider the boundedness for fractional integrations on Hardy spaces and Carleson measure spaces. Precisely, we establish some Hardy......
期刊: PUBLICATIONES MATHEMATICAE-DEBRECEN, 2021; 98 (1-2)
Let G be a finite group, p be a prime number, and let D be the intersection of the kernels of all the non-monomial monolithic p-Brauer characters of G......
期刊: PUBLICATIONES MATHEMATICAE-DEBRECEN, 2021; 98 (1-2)
In a recent paper, Baker and Kong have studied the Hausdorff dimension of the intersection of Cantor sets with their translations. We extend their res......
期刊: PUBLICATIONES MATHEMATICAE-DEBRECEN, 2021; 98 (1-2)
Let A, B be two rings and T = ( A(0)M(B)) with M an A-B-bimodule. Suppose that we are given two complete hereditary cotorsion pairs (A(A),B-A) and (C-......
期刊: PUBLICATIONES MATHEMATICAE-DEBRECEN, 2021; 98 (1-2)
Let A = F-q[T] be the polynomial ring over the finite field F-q. In this paper, we prove a Menon-Sury's identity with several multiplicative and addit......
期刊: PUBLICATIONES MATHEMATICAE-DEBRECEN, 2020; 97 (1-2)
Recently, there has been much progress in our understanding of the flatness of ternary cyclotomic polynomials, but a complete classification is not kn......
期刊: PUBLICATIONES MATHEMATICAE-DEBRECEN, 2020; 97 (1-2)
In the paper, making use of the monotonicity theorem for the ratio of two power series, the Cebysev integral inequality for monotonic functions and th......
期刊: PUBLICATIONES MATHEMATICAE-DEBRECEN, 2020; 97 (1-2)
Let P-n denote the set of positive integers which are prime to n. Let B-n be the n-th Bernoulli number. For any prime p >= 11 and integer r >= 2......
期刊: PUBLICATIONES MATHEMATICAE-DEBRECEN, 2020; 97 (1-2)
This paper is to construct non-naturally reductive Einstein-Randers metrics on compact simple Lie groups with the decompositions arising from flag man......