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Mathematics of the USSR-Izvestiya, 1977, Volume 11, Issue 2, Pages 239–270
DOI: https://doi.org/10.1070/IM1977v011n02ABEH001710 (Mi im1801) 		 
This article is cited in 22 scientific papers (total in 22 papers)

Estimates for the orders of zeros of functions of a certain class and applications in the theory of transcendental numbers

Yu. V. Nesterenko
English version PDF (1296 kB) Citations (22)
References:
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DOI: https://doi.org/10.1070/IM1977v011n02ABEH001710
Abstract: By the use of estimates for the multiplicities of the zeros of polynomials in certain fixed functions, an estimate is proved for the measure of algebraic independence of the values of the functions which is effective in the degree and height.
Bibliography: 10 titles.
Received: 30.12.1975
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1977, Volume 41, Issue 2, Pages 253–284
Bibliographic databases:
UDC: 517.9
MSC: Primary 10F35, 12D10; Secondary 33A35, 34A30, 34A20
Language: English
Original paper language: Russian
Citation: Yu. V. Nesterenko, “Estimates for the orders of zeros of functions of a certain class and applications in the theory of transcendental numbers”, Izv. Akad. Nauk SSSR Ser. Mat., 41:2 (1977), 253–284; Math. USSR-Izv., 11:2 (1977), 239–270
Citation in format AMSBIB
\Bibitem{Nes77}
\by Yu.~V.~Nesterenko
\paper Estimates for the orders of zeros of functions of a~certain class and applications in the theory of transcendental numbers
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1977
\vol 41
\issue 2
\pages 253--284
\mathnet{http://mi.mathnet.ru/im1801}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=491535}
\zmath{https://zbmath.org/?q=an:0354.10026|0378.10022}
\transl
\jour Math. USSR-Izv.
\yr 1977
\vol 11
\issue 2
\pages 239--270
\crossref{https://doi.org/10.1070/IM1977v011n02ABEH001710}
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  • https://www.mathnet.ru/eng/im/v41/i2/p253
    • This publication is cited in the following 22 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:488
    Russian version PDF:201
    English version PDF:39
    References:46
    First page:1
     
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