Analysis of a Complex approximation to the Li-Keiper coefficients around the K Function

Danilo Merlini; Massimo Sala; Nicoletta Sala

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arXiv · 1907.01903

Analysis of a Complex approximation to the Li-Keiper coefficients around the K Function

Danilo Merlini·Massimo Sala·Nicoletta Sala

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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.

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Danilo Merlini, Massimo Sala, Nicoletta Sala. 2019-06-30. Analysis of a Complex approximation to the Li-Keiper coefficients around the K Function. https://arxiv.org/abs/1907.01903

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