Notes on a paper of Tyagi and Holm: A new integral representation for the Riemann Zeta function

2007/09/29 by Michael Milgram, Milgram, Michael
Mathematics · #11B68 #11M06 #33B99 #Advanced Mathematical Identities #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.0710.0037

openalex publication_date 2007/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that a new series representation of Riemann s Zeta function obtained by Tyagi and Holm leads to an interesting new recursion for Bernoulli numbers of even index as well as new representations of, and infinite series involving, Zeta functions of special (integer) argument.

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