Gou Su and Zhang Wenpeng: A new sum and its mean value, p.209-215

Abstract:

The main purpose of this paper is to introduce a new sum analogous to Dedekind sum, then using the properties of Dirichlet L-functions to study the mean value of the new sum.

Key Words: Dedekind sum; Mean value; Identity; Asymptotic formula.

2000 Mathematics Subject Classification: Primary: 11M20;
Secondary: 11L05.

Download the paper in pdf format here.