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Matematicheskie Zametki, 1996, Volume 59, Issue 6, Pages 865–880
DOI: https://doi.org/10.4213/mzm1785 (Mi mzm1785) 		 
This article is cited in 52 scientific papers (total in 53 papers)

A few remarks on $\zeta(3)$

Yu. V. Nesterenko

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (214 kB) Citations (53)
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DOI: https://doi.org/10.4213/mzm1785
Abstract: A new proof of the irrationality of the number $\zeta(3)$ is proposed. A new decomposition of this number into a continued fraction is found. Recurrence relations are proved for some sequences of Meyer's $G$-functions that define a sequence of rational approximations to $\zeta(3)$ at the point 1.
Received: 29.11.1995
English version:
Mathematical Notes, 1996, Volume 59, Issue 6, Pages 625–636
DOI: https://doi.org/10.1007/BF02307212
Bibliographic databases:
UDC: 511.36
Language: Russian
Citation: Yu. V. Nesterenko, “A few remarks on $\zeta(3)$”, Mat. Zametki, 59:6 (1996), 865–880; Math. Notes, 59:6 (1996), 625–636
Citation in format AMSBIB
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\paper A~few remarks on $\zeta(3)$
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\pages 865--880
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\transl
\jour Math. Notes
\yr 1996
\vol 59
\issue 6
\pages 625--636
\crossref{https://doi.org/10.1007/BF02307212}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996VM73200027}
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    • This publication is cited in the following 53 articles:
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