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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 6, Pages 179–194 (Mi fpm892)  
This article is cited in 3 scientific papers (total in 3 papers)

Estimates for polynomials in logarithms of some rational numbers

V. N. Sorokin

M. V. Lomonosov Moscow State University
Full-text PDF (173 kB) Citations (3)
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Abstract: The Hermite–Pade approximations of the second type for algebra generated by a generalized Nikishin system of Markov functions corresponding to an infinite branching graph are investigated. Arithmetical applications of this construction are given. Namely, lower estimates for polynomials with integer coefficients in logarithms of some rational numbers are obtained. These estimates partially refine some known results obtained earlier by the Siegel method.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 146, Issue 2, Pages 5759–5770
DOI: https://doi.org/10.1007/s10958-007-0390-0
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. N. Sorokin, “Estimates for polynomials in logarithms of some rational numbers”, Fundam. Prikl. Mat., 11:6 (2005), 179–194; J. Math. Sci., 146:2 (2007), 5759–5770
Citation in format AMSBIB
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\by V.~N.~Sorokin
\paper Estimates for polynomials in logarithms of some rational numbers
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 6
\pages 179--194
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2204431}
\zmath{https://zbmath.org/?q=an:05358124}
\elib{https://elibrary.ru/item.asp?id=9127629}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 146
\issue 2
\pages 5759--5770
\crossref{https://doi.org/10.1007/s10958-007-0390-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34848836313}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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