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Sbornik: Mathematics, 1995, Volume 186, Issue 4, Pages 555–590
DOI: https://doi.org/10.1070/SM1995v186n04ABEH000031 (Mi sm31) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On rational approximations of values of a certain class of entire functions

W. V. Zudilin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (1237 kB) Citations (6)
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DOI: https://doi.org/10.1070/SM1995v186n04ABEH000031
Abstract: A sharp lower estimate is proved for the measure of irrationality of the values of $\mathbb Q\mathrm E$-functions satisfying a system of linear differential equations of arbitrary order at a rational point.
Received: 11.11.1994
Russian version:
Matematicheskii Sbornik, 1995, Volume 186, Number 4, Pages 89–124
Bibliographic databases:
Document Type: Article
UDC: 517.5
MSC: Primary 11J82; Secondary 11J85, 34A20, 30D15
Language: English
Original paper language: Russian
Citation: W. V. Zudilin, “On rational approximations of values of a certain class of entire functions”, Mat. Sb., 186:4 (1995), 89–124; Sb. Math., 186:4 (1995), 555–590
Citation in format AMSBIB
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\by W.~V.~Zudilin
\paper On rational approximations of values of a~certain class of entire functions
\jour Mat. Sb.
\yr 1995
\vol 186
\issue 4
\pages 89--124
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1336939}
\zmath{https://zbmath.org/?q=an:0848.11031}
\transl
\jour Sb. Math.
\yr 1995
\vol 186
\issue 4
\pages 555--590
\crossref{https://doi.org/10.1070/SM1995v186n04ABEH000031}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RZ92200014}
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  • https://doi.org/10.1070/SM1995v186n04ABEH000031
  • https://www.mathnet.ru/eng/sm/v186/i4/p89
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    English version PDF:24
    References:87
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