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Izvestiya: Mathematics, 1995, Volume 59, Issue 4, Pages 815–838
DOI: https://doi.org/10.1070/IM1995v059n04ABEH000035 (Mi im35) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On a measure of algebraic independence of values of an elliptic function

Yu. V. Nesterenko

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (998 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM1995v059n04ABEH000035
Abstract: An estimate is obtained for a measure of algebraic independence of values of a Weierstrass elliptic function with algebraic invariants at various algebraic points. The estimate is sharp as a function of the degree and height of polynomials.
Received: 24.02.1993
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1995, Volume 59, Issue 4, Pages 155–178
Bibliographic databases:
MSC: 11J85, 11J89
Language: English
Original paper language: Russian
Citation: Yu. V. Nesterenko, “On a measure of algebraic independence of values of an elliptic function”, Izv. RAN. Ser. Mat., 59:4 (1995), 155–178; Izv. Math., 59:4 (1995), 815–838
Citation in format AMSBIB
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\by Yu.~V.~Nesterenko
\paper On a~measure of algebraic independence of values of an elliptic function
\jour Izv. RAN. Ser. Mat.
\yr 1995
\vol 59
\issue 4
\pages 155--178
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1356354}
\zmath{https://zbmath.org/?q=an:0870.11044}
\transl
\jour Izv. Math.
\yr 1995
\vol 59
\issue 4
\pages 815--838
\crossref{https://doi.org/10.1070/IM1995v059n04ABEH000035}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000169556400008}
Linking options:
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  • https://doi.org/10.1070/IM1995v059n04ABEH000035
  • https://www.mathnet.ru/eng/im/v59/i4/p155
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:371
    Russian version PDF:137
    English version PDF:44
    References:55
    First page:1
     
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