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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)
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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
Russian version:
Matematicheskii Sbornik, 2005, Volume 196, Number 7, Pages 51–66
DOI: https://doi.org/10.4213/sm1376
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 $\pi$”, Mat. Sb., 196:7 (2005), 51–66; Sb. Math., 196:7 (2005), 983–998
Citation in format AMSBIB
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  • https://doi.org/10.1070/SM2005v196n07ABEH000945
  • https://www.mathnet.ru/eng/sm/v196/i7/p51
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    English version PDF:10
    References:56
    First page:1
     
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