3 papers
math.NT2024
Reciprocity formulas for certain generalized Hardy-Berndt sums
Yuan He
In this paper, we introduce the generalized Hardy-Berndt sums. We establish some formulas of products of the Bernoulli and Euler functions by using the Fourier series technique and…
math.NT2023
On the mean values of products of Dirichlet -functions at positive integers
Yuan He
In this paper, we study the mean value distributions of Dirichlet -functions at positive integers. We give some explicit formulas for the mean values of products of two and thre…
math.NT2023
Some reciprocity formulas for generalized Dedekind-Rademacher sums
Yuan He, Yong-Guo Shi
In this paper, we study the generalized Dedekind-Rademacher sums considered by Hall, Wilson and Zagier. We establish a formula for the products of two Bernoulli functions. The proo…