On various mean values of Dirichlet L-functions

Takuya Okamoto, and Tomokazu Onozuka. "On various mean values of Dirichlet L-functions." Acta Arithmetica 167.2 (2015): 101-115. <http://eudml.org/doc/279547>.

@article{TakuyaOkamoto2015,
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.},
author = {Takuya Okamoto, Tomokazu Onozuka},
journal = {Acta Arithmetica},
keywords = {double Dirichlet $L$-function; mean value; Jordan's totient function; Euler's function},
language = {eng},
number = {2},
pages = {101-115},
title = {On various mean values of Dirichlet L-functions},
url = {http://eudml.org/doc/279547},
volume = {167},
year = {2015},
}

TY - JOUR
AU - Takuya Okamoto
AU - Tomokazu Onozuka
TI - On various mean values of Dirichlet L-functions
JO - Acta Arithmetica
PY - 2015
VL - 167
IS - 2
SP - 101
EP - 115
AB - 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.
LA - eng
KW - double Dirichlet $L$-function; mean value; Jordan's totient function; Euler's function
UR - http://eudml.org/doc/279547
ER -