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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 377, Pages 217–240 (Mi znsl3822)  
This article is cited in 4 scientific papers (total in 4 papers)

On the quantitative subspace theorem

J.-H. Evertse

Universiteit Leiden, Mathematisch Instituut, Leiden, The Netherlands
Full-text PDF (662 kB) Citations (4)
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Abstract: In this survey, we give an overview of recent improvements upon the Quantitative Subspace Theorem, obtained jointly with R. Ferretti, which follow from work in [9]. Further, we give a new gap principle with which we can estimate the number of subspaces containing the “small solutions” of the systems of inequalities under consideration. As an introduction, we start with a quantitative version of Roth's theorem. Bibl. 28 titles.
Key words and phrases: Diophantine approximation, subspace theorem.
Received: 25.05.2010
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 171, Issue 6, Pages 824–837
DOI: https://doi.org/10.1007/s10958-010-0185-6
Bibliographic databases:
Document Type: Article
UDC: 511.36
Language: English
Citation: J.-H. Evertse, “On the quantitative subspace theorem”, Studies in number theory. Part 10, Zap. Nauchn. Sem. POMI, 377, POMI, St. Petersburg, 2010, 217–240; J. Math. Sci. (N. Y.), 171:6 (2010), 824–837
Citation in format AMSBIB
\Bibitem{Eve10}
\by J.-H.~Evertse
\paper On the quantitative subspace theorem
\inbook Studies in number theory. Part~10
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 377
\pages 217--240
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3822}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 171
\issue 6
\pages 824--837
\crossref{https://doi.org/10.1007/s10958-010-0185-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78650061520}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:36
     
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