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arXiv · 0812.2592

Identities for the Riemann zeta function

Michael O. Rubinstein
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Abstract

We obtain several expansions for $ζ(s)$ involving a sequence of polynomials in $s$, denoted in this paper by $α_k(s)$. These polynomials can be regarded as a generalization of Stirling numbers of the first kind and our identities extend some series expansions for the zeta function that are known for integer values of $s$. The expansions also give a different approach to the analytic continuation of the Riemann zeta function.

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Michael O. Rubinstein. 2009-08-17. Identities for the Riemann zeta function. https://arxiv.org/abs/0812.2592

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