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Mathematics of the USSR-Izvestiya, 1970, Volume 4, Issue 5, Pages 1043–1069
DOI: https://doi.org/10.1070/IM1970v004n05ABEH000944 (Mi im2458) 		 
This article is cited in 5 scientific papers (total in 5 papers)

A new application of $p$-adic analysis to representation of numbers by binary forms

V. G. Sprindzhuk
English version PDF (1013 kB) Citations (5)
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DOI: https://doi.org/10.1070/IM1970v004n05ABEH000944
Abstract: An effective method is given for constructing bounds for unknowns in representations of numbers by binary forms. The arguments are based on bounds of linear forms in the logarithms of algebraic numbers in various metrics (archimedian and non-archimedian).
Received: 10.02.1970
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1970, Volume 34, Issue 5, Pages 1038–1063
Bibliographic databases:
UDC: 511
MSC: 11D88, 11J86, 11D85
Language: English
Original paper language: Russian
Citation: V. G. Sprindzhuk, “A new application of $p$-adic analysis to representation of numbers by binary forms”, Izv. Akad. Nauk SSSR Ser. Mat., 34:5 (1970), 1038–1063; Math. USSR-Izv., 4:5 (1970), 1043–1069
Citation in format AMSBIB
\Bibitem{Spr70}
\by V.~G.~Sprindzhuk
\paper A new application of $p$-adic analysis to representation of numbers by
binary forms
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1970
\vol 34
\issue 5
\pages 1038--1063
\mathnet{http://mi.mathnet.ru/im2458}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=271027}
\zmath{https://zbmath.org/?q=an:0219.10036}
\transl
\jour Math. USSR-Izv.
\yr 1970
\vol 4
\issue 5
\pages 1043--1069
\crossref{https://doi.org/10.1070/IM1970v004n05ABEH000944}
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  • https://www.mathnet.ru/eng/im/v34/i5/p1038
    • 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:294
    Russian version PDF:110
    English version PDF:22
    References:43
    First page:1
     
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