English

A cotangent sum related to zeros of the Estermann zeta function

Classical Analysis and ODEs 2015-12-16 v1

Abstract

We consider a cotangent sum related to Estermann's Zeta function. We provide an elementary and self-contained improvement of the error term in an asymptotic formula proved by V. I. Vasyunin.

Keywords

Cite

@article{arxiv.1512.04711,
  title  = {A cotangent sum related to zeros of the Estermann zeta function},
  author = {Michael Th. Rassias},
  journal= {arXiv preprint arXiv:1512.04711},
  year   = {2015}
}

Comments

This paper has been published in the journal: Applied Mathematics and Computation, 240(2014), 161-167