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, 2019, Volume 105, Issue 3, Pages 444–454
DOI: https://doi.org/10.4213/mzm12076 (Mi mzm12076) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A Short Remark on the Multiplicative Energy of the Spectrum

I. D. Shkredov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF (504 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm12076
Abstract: An upper bound for the multiplicative energy of the spectrum of an arbitrary subset of Fp is obtained. Apparently, at present, this is the best bound.
Keywords: large exponential sum, multiplicative energy, sum-product phenomenon.
Funding agency Grant number
Russian Science Foundation 14-11-00433
This work was supported by the Russian Science Foundation under grant 14-11-00433.
Received: 30.05.2018
English version:
Mathematical Notes, 2019, Volume 105, Issue 3-4, Pages 449–457
DOI: https://doi.org/10.1134/S0001434619030155
Bibliographic databases:
Document Type: Article
UDC: 511.178
Language: Russian
Citation: I. D. Shkredov, “A Short Remark on the Multiplicative Energy of the Spectrum”, Mat. Zametki, 105:3 (2019), 444–454; Math. Notes, 105:3-4 (2019), 449–457
Citation in format AMSBIB
\Bibitem{Shk19}
\by I.~D.~Shkredov
\paper A Short Remark on the Multiplicative Energy of the Spectrum
\jour Mat. Zametki
\yr 2019
\vol 105
\issue 3
\pages 444--454
\mathnet{http://mi.mathnet.ru/mzm12076}
\crossref{https://doi.org/10.4213/mzm12076}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3920420}
\elib{https://elibrary.ru/item.asp?id=37045132}
\transl
\jour Math. Notes
\yr 2019
\vol 105
\issue 3-4
\pages 449--457
\crossref{https://doi.org/10.1134/S0001434619030155}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000467561600015}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85065707739}
Linking options:
  • https://www.mathnet.ru/eng/mzm12076
  • https://doi.org/10.4213/mzm12076
  • https://www.mathnet.ru/eng/mzm/v105/i3/p444
    • This publication is cited in the following 1 articles:
    1. A. Mohammadi, T. Pham, Y. Wang, “An energy decomposition theorem for matrices and related questions”, Can. Math. Bull., 66:4 (2023), 1280  crossref
    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:381
    Full-text PDF :38
    References:57
    First page:25
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025