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, 2017, Volume 296, Pages 72–94
DOI: https://doi.org/10.1134/S037196851701006X (Mi tm3766) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On the zeros of the Davenport–Heilbronn function

S. A. Gritsenkoab

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Bauman Moscow State Technical University
Full-text PDF (270 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.1134/S037196851701006X
Abstract: Let $N_0(T)$ be the number of zeros of the Davenport–Heilbronn function in the interval $[1/2,1/2+iT]$. It is proved that $N_0(T)\gg T(\ln T)^{1/2+1/16-\varepsilon }$, where $\varepsilon $ is an arbitrarily small positive number.
Received: May 15, 2016
English version:
Proceedings of the Steklov Institute of Mathematics, 2017, Volume 296, Pages 65–87
DOI: https://doi.org/10.1134/S0081543817010060
Bibliographic databases:
Document Type: Article
UDC: 511.331
Language: Russian
Citation: S. A. Gritsenko, “On the zeros of the Davenport–Heilbronn function”, Analytic and combinatorial number theory, Collected papers. On the occasion of the 125th anniversary of the birth of Academician Ivan Matveevich Vinogradov, Trudy Mat. Inst. Steklova, 296, MAIK Nauka/Interperiodica, Moscow, 2017, 72–94; Proc. Steklov Inst. Math., 296 (2017), 65–87
Citation in format AMSBIB
\Bibitem{Gri17}
\by S.~A.~Gritsenko
\paper On the zeros of the Davenport--Heilbronn function
\inbook Analytic and combinatorial number theory
\bookinfo Collected papers. On the occasion of the 125th anniversary of the birth of Academician Ivan Matveevich Vinogradov
\serial Trudy Mat. Inst. Steklova
\yr 2017
\vol 296
\pages 72--94
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3766}
\crossref{https://doi.org/10.1134/S037196851701006X}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3640774}
\elib{https://elibrary.ru/item.asp?id=28905722}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2017
\vol 296
\pages 65--87
\crossref{https://doi.org/10.1134/S0081543817010060}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000400278600006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85017982770}
Linking options:
  • https://www.mathnet.ru/eng/tm3766
  • https://doi.org/10.1134/S037196851701006X
  • https://www.mathnet.ru/eng/tm/v296/p72
    • This publication is cited in the following 5 articles:
    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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024