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Mathematics of the USSR-Izvestiya, 1977, Volume 11, Issue 4, Pages 677–707
DOI: https://doi.org/10.1070/IM1977v011n04ABEH001741 (Mi im1861) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The Thue–Mahler equation in a relative field and approximation of algebraic numbers by algebraic numbers

S. V. Kotov, V. G. Sprindzhuk
English version PDF (1022 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM1977v011n04ABEH001741
Abstract: A new estimate of the solutions of the generalized Thue–Mahler equation is derived, which explicitly exhibits the influence of all fundamental parameters of the equation on the magnitude of the solutions. Also, an effective power sharpening is given of “Liouville's inequality” relating to the approximation of algebraic numbers by algebraic numbers of a fixed field, which includes both Archimedean and non-Archimedean valuations.
Bibliography: 19 titles.
Received: 16.01.1976
Bibliographic databases:
UDC: 511
MSC: 10B05, 10B45, 10F25, 10F30
Language: English
Original paper language: Russian
Citation: S. V. Kotov, V. G. Sprindzhuk, “The Thue–Mahler equation in a relative field and approximation of algebraic numbers by algebraic numbers”, Math. USSR-Izv., 11:4 (1977), 677–707
Citation in format AMSBIB
\Bibitem{KotSpr77}
\by S.~V.~Kotov, V.~G.~Sprindzhuk
\paper The Thue--Mahler equation in a~relative field and approximation of algebraic numbers by algebraic numbers
\jour Math. USSR-Izv.
\yr 1977
\vol 11
\issue 4
\pages 677--707
\mathnet{http://mi.mathnet.ru//eng/im1861}
\crossref{https://doi.org/10.1070/IM1977v011n04ABEH001741}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=485717}
\zmath{https://zbmath.org/?q=an:0358.10008}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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