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 63–77 (Mi znsl3815)  
This article is cited in 8 scientific papers (total in 8 papers)

A generalization of the Bombieri–Pila determinant method

O. Marmonab

a Chalmers University of Technology, Goteborg, Sweden
b University of Gothenburg, Goteborg, Sweden
Full-text PDF (612 kB) Citations (8)
References:
PDF
HTML
Abstract: The so-called determinant method was developed by Bombieri and Pila in 1989 for counting integral points of bounded height on affine plane curves. In this paper, we give a generalization of that method to varieties of higher dimension, yielding a proof of Heath-Brown's “Theorem 14” by real-analytic considerations alone. Bibl. 11 titles.
Key words and phrases: rational points, integral points, determinant method.
Received: 11.05.2010
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 171, Issue 6, Pages 736–744
DOI: https://doi.org/10.1007/s10958-010-0178-5
Bibliographic databases:
Document Type: Article
UDC: 512.752+511.515
Language: English
Citation: O. Marmon, “A generalization of the Bombieri–Pila determinant method”, Studies in number theory. Part 10, Zap. Nauchn. Sem. POMI, 377, POMI, St. Petersburg, 2010, 63–77; J. Math. Sci. (N. Y.), 171:6 (2010), 736–744
Citation in format AMSBIB
\Bibitem{Mar10}
\by O.~Marmon
\paper A generalization of the Bombieri--Pila determinant method
\inbook Studies in number theory. Part~10
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 377
\pages 63--77
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3815}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 171
\issue 6
\pages 736--744
\crossref{https://doi.org/10.1007/s10958-010-0178-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78650037231}
Linking options:
  • https://www.mathnet.ru/eng/znsl3815
  • https://www.mathnet.ru/eng/znsl/v377/p63
    • This publication is cited in the following 8 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:162
    Full-text PDF :53
    References:29
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024