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Mathematics of the USSR-Sbornik, 1980, Volume 37, Issue 3, Pages 381–388
DOI: https://doi.org/10.1070/SM1980v037n03ABEH001961 (Mi sm2392) 		 
This article is cited in 34 scientific papers (total in 35 papers)

On irrationality of the values of the functions $F(x,s)$

E. M. Nikishin
English version PDF (321 kB) Citations (35)
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DOI: https://doi.org/10.1070/SM1980v037n03ABEH001961
Abstract: This paper gives a proof of a theorem on the linear independence over $\mathbf Q$ of values of functions $F(x,s)=\sum_{n=1}^\infty\frac{x^n}{n^s}$, where $x$ is a rational number whose numerator and denominator satisfy a certain relation.
Bibliography: 1 title.
Received: 25.12.1978
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1979, Volume 109(151), Number 3(7), Pages 410–417
Bibliographic databases:
UDC: 511.74
MSC: Primary 10F37; Secondary 10F10
Language: English
Original paper language: Russian
Citation: E. M. Nikishin, “On irrationality of the values of the functions $F(x,s)$”, Mat. Sb. (N.S.), 109(151):3(7) (1979), 410–417; Math. USSR-Sb., 37:3 (1980), 381–388
Citation in format AMSBIB
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\by E.~M.~Nikishin
\paper On irrationality of the values of the functions $F(x,s)$
\jour Mat. Sb. (N.S.)
\yr 1979
\vol 109(151)
\issue 3(7)
\pages 410--417
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=542809}
\zmath{https://zbmath.org/?q=an:0441.10031|0414.10032}
\transl
\jour Math. USSR-Sb.
\yr 1980
\vol 37
\issue 3
\pages 381--388
\crossref{https://doi.org/10.1070/SM1980v037n03ABEH001961}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980KT31500006}
Linking options:
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  • https://doi.org/10.1070/SM1980v037n03ABEH001961
  • https://www.mathnet.ru/eng/sm/v151/i3/p410
    • This publication is cited in the following 35 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:811
    Russian version PDF:192
    English version PDF:20
    References:51
     
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