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, 2005, Volume 322, Pages 17–44 (Mi znsl391)  
This article is cited in 1 scientific paper (total in 1 paper)

A generalized square of the zeta function. The spectral decomposition

A. I. Vinogradov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (261 kB) Citations (1)
References:
PDF
HTML
Abstract: The spectral decomposition for the square of the classical Riemann zeta function $\zeta^2(s)$ is generalized to the case of the product of two such functions $\zeta(s_1)\cdot \zeta(s_2)$ of different arguments.
Received: 20.10.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 137, Issue 2, Pages 4617–4633
DOI: https://doi.org/10.1007/s10958-006-0258-8
Bibliographic databases:
UDC: 519.68
Language: Russian
Citation: A. I. Vinogradov, “A generalized square of the zeta function. The spectral decomposition”, Proceedings on number theory, Zap. Nauchn. Sem. POMI, 322, POMI, St. Petersburg, 2005, 17–44; J. Math. Sci. (N. Y.), 137:2 (2006), 4617–4633
Citation in format AMSBIB
\Bibitem{Vin05}
\by A.~I.~Vinogradov
\paper A generalized square of the zeta function. The
spectral decomposition
\inbook Proceedings on number theory
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 322
\pages 17--44
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl391}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2138449}
\zmath{https://zbmath.org/?q=an:1142.11351}
\elib{https://elibrary.ru/item.asp?id=9126045}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 137
\issue 2
\pages 4617--4633
\crossref{https://doi.org/10.1007/s10958-006-0258-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746149309}
Linking options:
  • https://www.mathnet.ru/eng/znsl391
  • https://www.mathnet.ru/eng/znsl/v322/p17
    Cycle of papers
    This publication is cited in the following 1 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:290
    Full-text PDF :115
    References:61
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024