Polylogarithm approaches to Riemann Zeta function zeroes
Number Theory
2012-12-12 v1 Combinatorics
Abstract
We use visible point vector identities to examine polylogarithms in the neighbourhood of the Riemann zeta function zeroes. New formulas limiting to the trivial zeroes and to the critical line on the zeta function are given. Similar results arise from Euler-Zagier sums given in Bailey, Borwein and Crandall [4] providing new infinite product identities.
Cite
@article{arxiv.1212.2246,
title = {Polylogarithm approaches to Riemann Zeta function zeroes},
author = {Geoffrey B Campbell},
journal= {arXiv preprint arXiv:1212.2246},
year = {2012}
}
Comments
5 pages. Work incidental to a monograph in progress