On Eisenstein series with characters and Dedekind sums
On Elliptic Units and Class Number of a Certain Non-Galois Number Field.
On Lehmer's problem and Dedekind sums
Let be an odd prime and a fixed integer with . For each integer with , it is clear that there exists one and only one with such that (mod ). Let denote the number of all solutions of the congruence equation (mod ) for , in which and are of opposite parity, where is defined by the congruence equation . The main purpose of this paper is to use the properties of Dedekind sums and the mean value theorem for Dirichlet -functions to study the hybrid mean value problem involving...
On the arithmetic mean of Dedekind sums
On the hybrid mean value of Cochrane sums and generalized Kloosterman sums
On the hybrid mean value of Dedekind sums and Hurwitz zeta-function
On the mean value of Dedekind sum weighted by the quadratic Gauss sum
Various properties of classical Dedekind sums have been investigated by many authors. For example, Wenpeng Zhang, On the mean values of Dedekind sums, J. Théor. Nombres Bordx, 8 (1996), 429–442, studied the asymptotic behavior of the mean value of Dedekind sums, and H. Rademacher and E. Grosswald, Dedekind Sums, The Carus Mathematical Monographs No. 16, The Mathematical Association of America, Washington, D.C., 1972, studied the related properties. In this paper, we use the algebraic method to...
On the mean value of L(m,χ )L(n,χ̅) at positive integers m,n ≥ 1
On the mean values of Dedekind sums
In this paper we study the asymptotic behavior of the mean value of Dedekind sums, and give a sharper asymptotic formula.
On the Values of the Dedekind Sum.
One special class of modular forms and group representations
In this article we consider one special class of modular forms which are products of Dedekind -functions and the relationships between these functions and representations of finite groups.