Effective method of computing Li's coefficients and their properties
Number Theory
2025-10-20 v5 Numerical Analysis
Numerical Analysis
Abstract
In this paper we present an effective method for computing certain real coefficients which appear in a criterion for the Riemann hypothesis proved by Xian-Jin Li. With the use of this method a sequence of over three-thousand 's has been calculated. This sequence reveals a peculiar and unexpected behavior: it can be split into a strictly growing \textit{trend} and some tiny \textit{oscillations} superimposed on this trend.
Cite
@article{arxiv.math/0402168,
title = {Effective method of computing Li's coefficients and their properties},
author = {Krzysztof Maslanka},
journal= {arXiv preprint arXiv:math/0402168},
year = {2025}
}
Comments
11 pages, 7 figures