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Sbornik: Mathematics, 2001, Volume 192, Issue 8, Pages 1181–1207
DOI: https://doi.org/10.1070/SM2001v192n08ABEH000588 (Mi sm588) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Cancellation of factorials

W. V. Zudilin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (283 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM2001v192n08ABEH000588
Abstract: An arithmetical property allowing an improvement of some number-theoretic estimates is studied. Previous results were mostly qualitative. Application of quantitative results of the paper to the class of generalized hypergeometric $G$-functions extends the set of irrational numbers representable as values of these functions.
Received: 17.01.2000
Russian version:
Matematicheskii Sbornik, 2001, Volume 192, Number 8, Pages 95–122
DOI: https://doi.org/10.4213/sm588
Bibliographic databases:
Document Type: Article
UDC: 511.3+519.11+517.588
MSC: 11J82, 11J91
Language: English
Original paper language: Russian
Citation: W. V. Zudilin, “Cancellation of factorials”, Mat. Sb., 192:8 (2001), 95–122; Sb. Math., 192:8 (2001), 1181–1207
Citation in format AMSBIB
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Linking options:
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  • https://doi.org/10.1070/SM2001v192n08ABEH000588
  • https://www.mathnet.ru/eng/sm/v192/i8/p95
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:2804
    Russian version PDF:701
    English version PDF:22
    References:103
    First page:1
     
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