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Mathematics of the USSR-Izvestiya, 1974, Volume 8, Issue 3, Pages 463–476
DOI: https://doi.org/10.1070/IM1974v008n03ABEH002114 (Mi im1932) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On Tate height and the representation of numbers by binary forms

V. A. Dem'yanenko
English version PDF (426 kB) Citations (5)
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DOI: https://doi.org/10.1070/IM1974v008n03ABEH002114
Abstract: We give a decomposition of the Tate height into components possessing quadraticity with respect to a group law, and on the basis of this decomposition we obtain an estimate for the number of $K$-points with integral coordinates of certain algebraic curves.
Received: 24.04.1972
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1974, Volume 38, Issue 3, Pages 459–470
Bibliographic databases:
UDC: 513.6
MSC: 14G05, 10B35
Language: English
Original paper language: Russian
Citation: V. A. Dem'yanenko, “On Tate height and the representation of numbers by binary forms”, Math. USSR-Izv., 8:3 (1974), 463–476
Citation in format AMSBIB
\Bibitem{Dem74}
\by V.~A.~Dem'yanenko
\paper On Tate height and the representation of numbers by binary forms
\jour Math. USSR-Izv.
\yr 1974
\vol 8
\issue 3
\pages 463--476
\mathnet{http://mi.mathnet.ru//eng/im1932}
\crossref{https://doi.org/10.1070/IM1974v008n03ABEH002114}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=364094}
\zmath{https://zbmath.org/?q=an:0309.14024}
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  • https://doi.org/10.1070/IM1974v008n03ABEH002114
  • https://www.mathnet.ru/eng/im/v38/i3/p459
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:287
    Russian version PDF:69
    English version PDF:8
    References:52
    First page:1
     
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