Russian Mathematical Surveys
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Uspekhi Mat. Nauk:
Year:
Volume:
Issue:
Page:
Find




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

Russian Mathematical Surveys, 2006, Volume 61, Issue 3, Pages 389–482
DOI: https://doi.org/10.1070/RM2006v061n03ABEH004328 (Mi rm1741) 		 
This article is cited in 30 scientific papers (total in 30 papers)

Behaviour of the argument of the Riemann zeta function on the critical line

A. A. Karatsubaa, M. A. Korolevb

a Steklov Mathematical Institute, Russian Academy of Sciences
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (702 kB) Citations (30) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/RM2006v061n03ABEH004328
Abstract: Theorems on the number of zeros of the Riemann zeta function in quadrangles of small height that are placed to the right of the critical line are proved and used to prove theorems on the behaviour of the argument of the zeta function on the critical line.
Received: 15.01.2006
Bibliographic databases:
Document Type: Article
UDC: 511
MSC: Primary 11M06; Secondary 11M26
Language: English
Original paper language: Russian
Citation: A. A. Karatsuba, M. A. Korolev, “Behaviour of the argument of the Riemann zeta function on the critical line”, Russian Math. Surveys, 61:3 (2006), 389–482
Citation in format AMSBIB
\Bibitem{KarKor06}
\by A.~A.~Karatsuba, M.~A.~Korolev
\paper Behaviour of the argument of the Riemann zeta function on the critical line
\jour Russian Math. Surveys
\yr 2006
\vol 61
\issue 3
\pages 389--482
\mathnet{http://mi.mathnet.ru/eng/rm1741}
\crossref{https://doi.org/10.1070/RM2006v061n03ABEH004328}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2261515}
\zmath{https://zbmath.org/?q=an:05176915}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2006RuMaS..61..389K}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000241498600001}
\elib{https://elibrary.ru/item.asp?id=25787298}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33750503583}
Linking options:
  • https://www.mathnet.ru/eng/rm1741
  • https://doi.org/10.1070/RM2006v061n03ABEH004328
  • https://www.mathnet.ru/eng/rm/v61/i3/p3
    • This publication is cited in the following 30 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025