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An Explicit Formula Relating Stieltjes Constants and Li's Numbers

Krzysztof Maslanka
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Abstract

In this paper we present a new formula relating Stieltjes numbers $γ_{n}$ and Laurent coefficinets $η_{n}$ of logarithmic derivative of the Riemann's zeta function. Using it we derive an explicit formula for the oscillating part of Li's numbers $\overset{\sim}λ_{n}$ which are connected with the Riemann hypothesis.

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Krzysztof Maslanka. 2004-06-19. An Explicit Formula Relating Stieltjes Constants and Li's Numbers. https://arxiv.org/abs/math/0406312

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