Article
Keywords:
Dedekind sums; Dirichlet $L$-function; mean value
Summary:
The main purpose of this paper is to use the M. Toyoizumi's important work, the properties of the Dedekind sums and the estimates for character sums to study a hybrid mean value of the Dedekind sums, and give a sharper asymptotic formula for it.
References:
                        
[2] Rademacher, H.: 
On the transformation of $\log\eta(\tau)$. J. Indian Math. Soc. 19 (1955), 25-30. 
MR 0070660 | 
Zbl 0064.32703