Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/znsl3822
  • https://www.mathnet.ru/eng/znsl/v377/p217
    • 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
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:163
    Full-text PDF :40
    References:31
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024