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Sharp bounds for the number of integral points on y(2) = x(3) +/- 2tx(2) + tpx

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......

Uniqueness theorem for holomorphic curves on the disc

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......

On cyclic quadrilaterals in euclidean and hyperbolic geometries

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......

On partitions of Z(m) with the same representation function

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) ......

Three supercongruences for Apery numbers and Franel numbers

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,......

On products of consecutive integers

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) ((......

Weighted Hardy and Carleson measure spaces estimates for fractional integrations

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......

A note on monolithic Brauer characters

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......

Difference of Cantor sets and frequencies in Thue-Morse type sequences

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......

Recollements associated to cotorsion pairs over upper triangular matrix rings

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-......

A Menon-Sury-type identity for arithmetic functions on F-q[T]

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......

The flatness of a class of ternary cyclotomic polynomials

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......

Monotonicity, convexity and inequalities related to complete (p, q, r)-elliptic integrals and generalized trigonometric functions

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......

New congruences on multiple harmonic sums and Bernoulli numbers

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......

Einstein-Randers metrics on compact simple Lie groups

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......

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