Infinite set of non linear Equations for the Li- Keiper Coefficients: a possible new upper and lower bound
General Mathematics
2020-12-16 v1
Abstract
Starting with an infinite set of non linear Equations for the Li-Keiper coefficients, we first specify a lower bound emerging from the infinite set and give a characterization of it. Then, we propose a possible new upper and lower bound for the coefficients in few of the partitions occurring in the cluster functions furnishing in a nonlinear way the coefficients. A numerical experiment up to n=15 confirms the proposed bounds and an experiment, i.e. the counting of the zeros in the binary representation of an integer for a constant related to the Glaisher-Kinkelin constant is also given up to n=32.
Keywords
Cite
@article{arxiv.2012.07980,
title = {Infinite set of non linear Equations for the Li- Keiper Coefficients: a possible new upper and lower bound},
author = {Merlini Danilo and Sala Massimo and Sala Nicoletta},
journal= {arXiv preprint arXiv:2012.07980},
year = {2020}
}
Comments
13 pages, 3 figures