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Izvestiya: Mathematics, 2008, Volume 72, Issue 6, Pages 1063–1110
DOI: https://doi.org/10.1070/IM2008v072n06ABEH002429 (Mi im757) 		 
This article is cited in 13 scientific papers (total in 13 papers)

The Hilbert polynomial and linear forms in the logarithms of algebraic numbers

Yu. M. Aleksentsev

Moscow State Institute of Steel and Alloys (Technological University)
English version PDF (554 kB) Citations (13) Russian version article
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DOI: https://doi.org/10.1070/IM2008v072n06ABEH002429
Abstract: We prove a new estimate for homogeneous linear forms with integer coefficients in the logarithms of algebraic numbers. We obtain a qualitative improvement of the estimate depending on the coefficients of the linear form and the best value of the constant in the estimate in the case when the number of logarithms is not too large.
Received: 30.01.2006
Bibliographic databases:
UDC: 511.3, 511.364, 511.51, 511.682
MSC: 11J86, 11J25, 11H06
Language: English
Original paper language: Russian
Citation: Yu. M. Aleksentsev, “The Hilbert polynomial and linear forms in the logarithms of algebraic numbers”, Izv. Math., 72:6 (2008), 1063–1110
Citation in format AMSBIB
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\by Yu.~M.~Aleksentsev
\paper The Hilbert polynomial and linear forms in the logarithms of algebraic numbers
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\yr 2008
\vol 72
\issue 6
\pages 1063--1110
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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