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Izvestiya: Mathematics, 2000, Volume 64, Issue 6, Pages 1217–1269
DOI: https://doi.org/10.1070/im2000v064n06ABEH000314 (Mi im314) 		 
This article is cited in 447 scientific papers (total in 447 papers)

An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II

E. M. Matveev

Moscow State Textile Academy named after A. N. Kosygin
English version PDF (513 kB) Citations (447)
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DOI: https://doi.org/10.1070/im2000v064n06ABEH000314
Abstract: In this paper we establish an estimate for the modulus of a linear form of the type described in the title. This estimate is exponential with respect to the number of summands.
Received: 31.08.1999
Revised: 12.07.2000
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2000, Volume 64, Issue 6, Pages 125–180
DOI: https://doi.org/10.4213/im314
Bibliographic databases:
MSC: 11J86, 11J25
Language: English
Original paper language: Russian
Citation: E. M. Matveev, “An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II”, Izv. RAN. Ser. Mat., 64:6 (2000), 125–180; Izv. Math., 64:6 (2000), 1217–1269
Citation in format AMSBIB
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\issue 6
\pages 125--180
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\transl
\jour Izv. Math.
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  • https://doi.org/10.1070/im2000v064n06ABEH000314
  • https://www.mathnet.ru/eng/im/v64/i6/p125
    Cycle of papers
    This publication is cited in the following 447 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:1134
    Russian version PDF:434
    English version PDF:84
    References:131
    First page:1
     
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