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, 2009, Volume 371, Pages 157–170 (Mi znsl3551)  

This article is cited in 6 scientific papers (total in 6 papers)

On Epstein's zeta function. II

O. M. Fomenko

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (609 kB) Citations (6)
References:
Abstract: Let $\zeta_3(s)$ be the Epstein zeta function associated with $x^2_1+x^2_2+x^2_3$. We investigate the behavior as $T\to\infty$ of the mean values
$$ \int^T_1|\zeta_3(1+it)|^2\,dt\quad\text{and}\quad\int^T_1|\zeta_3(\sigma+it)|^2\,dt, $$
$\sigma>1$. Also we discuss the hypothetical distribution of the zeros of $\zeta_3(s)$ in the strip $0\le\sigma\le3/2$. Bibl. – 20 titles.
Key words and phrases: Epstein's zeta function, functional equation, zeros of Epstein's zeta function.
Received: 20.09.2009
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 166, Issue 2, Pages 214–221
DOI: https://doi.org/10.1007/s10958-010-9862-8
Bibliographic databases:
Document Type: Article
UDC: 511.466+517.863
Language: Russian
Citation: O. M. Fomenko, “On Epstein's zeta function. II”, Analytical theory of numbers and theory of functions. Part 24, Zap. Nauchn. Sem. POMI, 371, POMI, St. Petersburg, 2009, 157–170; J. Math. Sci. (N. Y.), 166:2 (2010), 214–221
Citation in format AMSBIB
\Bibitem{Fom09}
\by O.~M.~Fomenko
\paper On Epstein's zeta function.~II
\inbook Analytical theory of numbers and theory of functions. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 371
\pages 157--170
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3551}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2749231}
\zmath{https://zbmath.org/?q=an:1288.11038}
\elib{https://elibrary.ru/item.asp?id=15321340}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 166
\issue 2
\pages 214--221
\crossref{https://doi.org/10.1007/s10958-010-9862-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77952095039}
Linking options:
  • https://www.mathnet.ru/eng/znsl3551
  • https://www.mathnet.ru/eng/znsl/v371/p157
    Cycle of papers
    This publication is cited in the following 6 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:336
    Full-text PDF :83
    References:48
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024