Matematicheskie Zametki
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
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2010, Volume 88, Issue 3, Pages 355–364
DOI: https://doi.org/10.4213/mzm8809 (Mi mzm8809) 		 
This article is cited in 7 scientific papers (total in 7 papers)

A Note on Burgess's Estimate

P. X. Gallaghera, H. L. Montgomeryb

a Columbia University, Department of Mathematics
b University of Michigan, Department of Mathematics
Full-text PDF (484 kB) Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm8809
Abstract: By introducing the Rademacher–Menchov device, we prove “maximal” analogs of principal bounds of character sums. This allows us to present the Burgess method so as to separate the main idea of this method from the technical issues.
Keywords: Dirichlet character, generalized Riemann hypothesis, Rademacher–Menchov device, Hölder's inequality, Legendre symbol.
Received: 01.12.2009
Revised: 12.03.2010
English version:
Mathematical Notes, 2010, Volume 88, Issue 3, Pages 321–329
DOI: https://doi.org/10.1134/S000143461009004X
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: P. X. Gallagher, H. L. Montgomery, “A Note on Burgess's Estimate”, Mat. Zametki, 88:3 (2010), 355–364; Math. Notes, 88:3 (2010), 321–329
Citation in format AMSBIB
\Bibitem{GalMon10}
\by P.~X.~Gallagher, H.~L.~Montgomery
\paper A Note on Burgess's Estimate
\jour Mat. Zametki
\yr 2010
\vol 88
\issue 3
\pages 355--364
\mathnet{http://mi.mathnet.ru/mzm8809}
\crossref{https://doi.org/10.4213/mzm8809}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2882175}
\transl
\jour Math. Notes
\yr 2010
\vol 88
\issue 3
\pages 321--329
\crossref{https://doi.org/10.1134/S000143461009004X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000284073100004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78249263504}
Linking options:
  • https://www.mathnet.ru/eng/mzm8809
  • https://doi.org/10.4213/mzm8809
  • https://www.mathnet.ru/eng/mzm/v88/i3/p355
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:541
    Full-text PDF :209
    References:54
    First page:33
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024