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ON A CONSTANT RELATED TO THE GLAISHER-KINKELIN CONSTANT
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Journal Article
ON A CONSTANT RELATED TO THE GLAISHER-KINKELIN CONSTANT
2020
Overview
In this note, we consider a constant c related to the Glaisher-Kinkelin constant, obtained by a shift of the infinite system of Equations for the Li-Keiper coefficients and related to the Euler formula at s = 2, i.e. ζ(2) = π2/6 for the Zeta function. The aim of the experiment we are carrying out is to relate the Primes with the tiny part (the fluctuations) of the Li-Keiper coefficients as well as with the trend part of them. The contribution of the series for the tiny part or for the trend part are thus related to a series for the primes and we obtain in this ways a upper and a lower bound of the constant c, which will be given with some decimals. Other relations may be obtained along the same lines and additional examples are given.
Publisher
Nova Science Publishers, Inc
Subject
