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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)
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DOI: https://doi.org/10.4213/mzm12076
Abstract: An upper bound for the multiplicative energy of the spectrum of an arbitrary subset of FpFp 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
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    • 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
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