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Mathematics of the USSR-Sbornik, 1981, Volume 40, Issue 1, Pages 79–85
DOI: https://doi.org/10.1070/SM1981v040n01ABEH001636
(Mi sm2713)
 

This article is cited in 4 scientific papers (total in 4 papers)

Diophantine equations over function fields

S. A. Stepanov
References:
Abstract: This paper proves the boundedness of the degrees of at least two components of an arbitrary solution $(x_1,\dots,x_n)$ of the equation
$$ a_1x_1^{s_1}+\dots+a_nx_n^{s_n}=0, $$
where $x_1(t),\dots,x_n(t)$ are pairwise relatively prime polynomials.
Bibliography: 4 titles.
Received: 06.09.1979
Bibliographic databases:
UDC: 511.5
MSC: Primary 14G05, 14G25; Secondary 10B15
Language: English
Original paper language: Russian
Citation: S. A. Stepanov, “Diophantine equations over function fields”, Math. USSR-Sb., 40:1 (1981), 79–85
Citation in format AMSBIB
\Bibitem{Ste80}
\by S.~A.~Stepanov
\paper Diophantine equations over function fields
\jour Math. USSR-Sb.
\yr 1981
\vol 40
\issue 1
\pages 79--85
\mathnet{http://mi.mathnet.ru//eng/sm2713}
\crossref{https://doi.org/10.1070/SM1981v040n01ABEH001636}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=575933}
\zmath{https://zbmath.org/?q=an:0467.10013|0452.10019}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981MM63900004}
Linking options:
  • https://www.mathnet.ru/eng/sm2713
  • https://doi.org/10.1070/SM1981v040n01ABEH001636
  • https://www.mathnet.ru/eng/sm/v154/i1/p86
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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