An Explicit Formula Relating Stieltjes Constants and Li's Numbers
Number Theory
2007-05-23 v2 Numerical Analysis
Abstract
In this paper we present a new formula relating Stieltjes numbers and Laurent coefficinets of logarithmic derivative of the Riemann's zeta function. Using it we derive an explicit formula for the oscillating part of Li's numbers which are connected with the Riemann hypothesis.
Cite
@article{arxiv.math/0406312,
title = {An Explicit Formula Relating Stieltjes Constants and Li's Numbers},
author = {Krzysztof Maslanka},
journal= {arXiv preprint arXiv:math/0406312},
year = {2007}
}
Comments
5 pages, 1 figure