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Sbornik: Mathematics, 2005, Volume 196, Issue 7, Pages 983–998
DOI: https://doi.org/10.1070/SM2005v196n07ABEH000945 (Mi sm1376) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Ramanujan-type formulae and irrationality measures of some multiples of $\pi$

W. V. Zudilin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (199 kB) Citations (13) Russian version article
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DOI: https://doi.org/10.1070/SM2005v196n07ABEH000945
Abstract: An explicit construction of simultaneous Padé approximations for generalized hypergeometric series and formulae for the quantities $\pi\sqrt d$, $d\in\{1,2,3,10005\}$, in terms of these series are used for estimates of irrationality measures of these multiples of $\pi$. Other possible applications are also discussed.
Received: 18.08.2004
Bibliographic databases:
Document Type: Article
UDC: 511.36+517.5
MSC: Primary 11J82, 41A2; Secondary 33C20
Language: English
Original paper language: Russian
Citation: W. V. Zudilin, “Ramanujan-type formulae and irrationality measures of some multiples of $\pi$”, Sb. Math., 196:7 (2005), 983–998
Citation in format AMSBIB
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\by W.~V.~Zudilin
\paper Ramanujan-type formulae and irrationality measures of some multiples of~$\pi$
\jour Sb. Math.
\yr 2005
\vol 196
\issue 7
\pages 983--998
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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