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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa167-2-1,
author = {Takuya Okamoto and Tomokazu Onozuka},
title = {On various mean values of Dirichlet L-functions},
journal = {Acta Arithmetica},
volume = {168},
year = {2015},
pages = {101-115},
zbl = {06392166},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa167-2-1}
}
Takuya Okamoto; Tomokazu Onozuka. On various mean values of Dirichlet L-functions. Acta Arithmetica, Tome 168 (2015) pp. 101-115. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa167-2-1/