On two mean square averages of Dirichlet $L$-function
Number Theory
2021-02-18 v1
Abstract
Finding the mean square averages of the Dirichlet -functions over Dirichlet characters of same parity is an active problem in number theory. Here we explicitly evaluate such averages of and using certain trigonometric sums and Bernoulli polynomials and express them in terms of the Euler totient function and the Jordan totient function .
Cite
@article{arxiv.2102.08844,
title = {On two mean square averages of Dirichlet $L$-function},
author = {Neha Elizabeth Thomas and Arya Chandran and K Vishnu Namboothiri},
journal= {arXiv preprint arXiv:2102.08844},
year = {2021}
}