On various mean values of Dirichlet $L$-functions
Volume 167 / 2015
Acta Arithmetica 167 (2015), 101-115
MSC: Primary 11M06; Secondary 11F20.
DOI: 10.4064/aa167-2-1
Abstract
We give a method of obtaining explicit formulas for various mean values of Dirichlet $L$-functions which are expressed in terms of the Riemann zeta-function, the Euler function and Jordan's totient functions. Applying those results to mean values of Dirichlet $L$-functions, we also give an explicit formula for certain mean values of double Dirichlet $L$-functions.
