Series representation of a cotangent sum related to the Estermann zeta function
Number Theory
2019-03-04 v1
Abstract
In this paper, we are interested by the cotangent sum c0(q/p) related to the Estermann zeta function for the special case when q = 1 and get explicit formula for its series expansion, which represents an improvement of the identity (2:1) Theorem (2:1) in the recent work [11].
Cite
@article{arxiv.1903.00250,
title = {Series representation of a cotangent sum related to the Estermann zeta function},
author = {Mouloud Goubi},
journal= {arXiv preprint arXiv:1903.00250},
year = {2019}
}