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An Explicit Formula Relating Stieltjes Constants and Li's Numbers

Krzysztof Maslanka

math.NTarXiv:math/0406312

Abstract

In this paper we present a new formula relating Stieltjes numbers γn and Laurent coefficinets ηn of logarithmic derivative of the Riemann's zeta function. Using it we derive an explicit formula for the oscillating part of Li's numbers λn which are connected with the Riemann hypothesis.

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