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Matematicheskie Zametki, 2021, Volume 109, Issue 1, Pages 117–128
DOI: https://doi.org/10.4213/mzm12764 (Mi mzm12764) 		 
This article is cited in 2 scientific papers (total in 2 papers)

An Elementary Analog of the Operator Method in Additive Combinatorics

K. I. Olmezov

Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
Full-text PDF (507 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm12764
Abstract: This paper provides an elementary proof of inequalities previously obtained by the operator method and having applications in additive combinatorics. The method of proof allows us to take a new look at a certain special case of Sidorenko's conjecture.
Keywords: additive energy, operator method, Sidorenko's conjecture.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1926
This work was supported by the Grant of the Government of the Russian Federation, decree no. 220 (grant no. 075-15-2019-1926).
Received: 21.04.2020
English version:
Mathematical Notes, 2021, Volume 109, Issue 1, Pages 110–119
DOI: https://doi.org/10.1134/S0001434621010132
Bibliographic databases:
Document Type: Article
UDC: 511.178+519.176
Language: Russian
Citation: K. I. Olmezov, “An Elementary Analog of the Operator Method in Additive Combinatorics”, Mat. Zametki, 109:1 (2021), 117–128; Math. Notes, 109:1 (2021), 110–119
Citation in format AMSBIB
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\paper An Elementary Analog of the Operator Method in Additive Combinatorics
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\pages 117--128
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\crossref{https://doi.org/10.4213/mzm12764}
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\transl
\jour Math. Notes
\yr 2021
\vol 109
\issue 1
\pages 110--119
\crossref{https://doi.org/10.1134/S0001434621010132}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000670512900013}
Linking options:
  • https://www.mathnet.ru/eng/mzm12764
  • https://doi.org/10.4213/mzm12764
  • https://www.mathnet.ru/eng/mzm/v109/i1/p117
    • This publication is cited in the following 2 articles:
    1. I. D. Shkredov, “On sums and products of combinatorial cubes”, Finite Fields their Appl., 77 (2022), 101948  crossref  mathscinet  zmath  isi
    2. I. D. Shkredov, “Non-commutative methods in additive combinatorics and number theory”, Russian Math. Surveys, 76:6 (2021), 1065–1122  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :46
    References:48
    First page:27
     
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