Analysis of a Complex approximation to the Li-Keiper coefficients around the K Function
General Mathematics
2019-07-04 v1
Abstract
We introduce a kind of "perturbation" for the Li-Keiper coefficients around the Koebe function (the K function) and establish a closed system of Equations for the Li-Keiper coefficients. We then check the correctness of some of the many possible solutions offered by the system ,related to the discrete derivative of order n of a function. We also report numerical finding which support our stability conjecture that the tiny part lambda-tiny(n) (the fluctuations around the trend) are bounded in absolute values by gammaxn, where gamma is the Euler-Mascheroni constant.
Cite
@article{arxiv.1907.01903,
title = {Analysis of a Complex approximation to the Li-Keiper coefficients around the K Function},
author = {Danilo Merlini and Massimo Sala and Nicoletta Sala},
journal= {arXiv preprint arXiv:1907.01903},
year = {2019}
}
Comments
29 pages, 12 images