Loading [MathJax]/jax/output/CommonHTML/jax.js
Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 276, Pages 233–238 (Mi tm3361)  
This article is cited in 1 scientific paper (total in 1 paper)

An extension of Motohashi's observation on the zero-free region of the Riemann zeta-function

Sergei N. Preobrazhenskiĭ

Faculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia
Full-text PDF (166 kB) Citations (1)
References:
PDF
HTML
Abstract: We give an extension of Yoichi Motohashi's theorem saying that if the Riemann zeta-function on the line Res=1 attains very small values, then Vinogradov's zero-free region can be improved.
Received in July 2011
English version:
Proceedings of the Steklov Institute of Mathematics, 2012, Volume 276, Pages 228–233
DOI: https://doi.org/10.1134/S0081543812010191
Bibliographic databases:
Document Type: Article
UDC: 511.331
Language: Russian
Citation: Sergei N. Preobrazhenskiǐ, “An extension of Motohashi's observation on the zero-free region of the Riemann zeta-function”, Number theory, algebra, and analysis, Collected papers. Dedicated to Professor Anatolii Alekseevich Karatsuba on the occasion of his 75th birthday, Trudy Mat. Inst. Steklova, 276, MAIK Nauka/Interperiodica, Moscow, 2012, 233–238; Proc. Steklov Inst. Math., 276 (2012), 228–233
Citation in format AMSBIB
\Bibitem{Pre12}
\by Sergei~N.~Preobrazhenski{\v\i}
\paper An extension of Motohashi's observation on the zero-free region of the Riemann zeta-function
\inbook Number theory, algebra, and analysis
\bookinfo Collected papers. Dedicated to Professor Anatolii Alekseevich Karatsuba on the occasion of his 75th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2012
\vol 276
\pages 233--238
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3361}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2986123}
\elib{https://elibrary.ru/item.asp?id=17680282}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2012
\vol 276
\pages 228--233
\crossref{https://doi.org/10.1134/S0081543812010191}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000303468300019}
\elib{https://elibrary.ru/item.asp?id=17983943}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84860372516}
Linking options:
  • https://www.mathnet.ru/eng/tm3361
  • https://www.mathnet.ru/eng/tm/v276/p233
    • This publication is cited in the following 1 articles:
    1. Proc. Steklov Inst. Math., 280, suppl. 2 (2013), S56–S64  mathnet  crossref  crossref  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:287
    Full-text PDF :89
    References:95
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025