A complement to a recent paper on some infinite sums with the zeta values
Classical Analysis and ODEs
2020-01-22 v2 Complex Variables
Number Theory
Abstract
Recently, several new results related to the evaluation of the series sum (-1)^n zeta(n)/(n+k) were published. In this short note we show that this series also possesses an interesting connection to the values of the zeta-function on the critical line and to the Euler constant.
Cite
@article{arxiv.2001.00108,
title = {A complement to a recent paper on some infinite sums with the zeta values},
author = {Iaroslav V. Blagouchine},
journal= {arXiv preprint arXiv:2001.00108},
year = {2020}
}