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, 2002, Volume 286, Pages 36–39 (Mi znsl1564)  
This article is cited in 2 scientific papers (total in 2 papers)

On the Pellian equation

E. P. Golubeva

St. Petersburg State University of Telecommunications
Full-text PDF (129 kB) Citations (2)
Abstract: Let $\varepsilon(d)$ be the least solution of the Pellian equation $x^2-dy^2=1$. It is proved that there exists a sequence of values of $d$ having a positive density and such that $\varepsilon(d)>d^{2-\delta}$, where $\delta$ is an arbitrary positive constant.
Received: 29.08.2002
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 122, Issue 6, Pages 3600–3602
DOI: https://doi.org/10.1023/B:JOTH.0000035233.98166.18
Bibliographic databases:
UDC: 511.622
Language: Russian
Citation: E. P. Golubeva, “On the Pellian equation”, Analytical theory of numbers and theory of functions. Part 18, Zap. Nauchn. Sem. POMI, 286, POMI, St. Petersburg, 2002, 36–39; J. Math. Sci. (N. Y.), 122:6 (2004), 3600–3602
Citation in format AMSBIB
\Bibitem{Gol02}
\by E.~P.~Golubeva
\paper On the Pellian equation
\inbook Analytical theory of numbers and theory of functions. Part~18
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 286
\pages 36--39
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1564}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1937365}
\zmath{https://zbmath.org/?q=an:1077.11021}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 122
\issue 6
\pages 3600--3602
\crossref{https://doi.org/10.1023/B:JOTH.0000035233.98166.18}
Linking options:
  • https://www.mathnet.ru/eng/znsl1564
  • https://www.mathnet.ru/eng/znsl/v286/p36
    • This publication is cited in the following 2 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:203
    Full-text PDF :88
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024