On rapidly convergent series for the Riemann zeta-values via the modular relation
type: Item
instance of: scholarly article
title: On rapidly convergent series for the Riemann zeta-values via the modular relation
zbMATH Open document ID: 1013.11048
DOI: 10.1007/BF02941671
published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
publication date: 2003-02-13T00:00:00Z
review text: The authors discuss and prove various results related to rapidly convergent series expressions. In particular they revisit one of the formulas of \textit{S. Ramanujan} in his second notebook, Chapter 14 [B. C. Berndt (ed.), Ramanujan's Notebooks. Part II, Springer (1989; Zbl 0716.11001)], relating the value of \(\zeta(2n+1)\) to an exponentially rapidly convergent series and interpret it as a modular relation due to \textit{S. Bochner} [Ann. Math. (2) 53, 332-363 (1951; Zbl 0042.32101)].
reviewed by: Ramūnas Garunkštis
Mathematics Subject Classification ID: 11M06
Mathematics Subject Classification ID: 11M35
zbMATH DE Number: 1868553
zbMATH Keywords: rapidly convergent series
zbMATH Keywords: Riemann zeta-function values
author: Shigeru Kanemitsu
author: Yoshio Tanigawa
author: Masami Yoshimoto
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1868553