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Mat. Zametki, 2019, Volume 105, Issue 3, Pages 444–454 (Mi mz12076)  

A Short Remark on the Multiplicative Energy of the Spectrum

I. D. Shkredov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: An upper bound for the multiplicative energy of the spectrum of an arbitrary subset of $\mathbb F_p$ 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.


DOI: https://doi.org/10.4213/mzm12076

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Document Type: Article
UDC: 511.178
Received: 30.05.2018

Citation: I. D. Shkredov, “A Short Remark on the Multiplicative Energy of the Spectrum”, Mat. Zametki, 105:3 (2019), 444–454

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/mz12076}
\crossref{https://doi.org/10.4213/mzm12076}
\elib{http://elibrary.ru/item.asp?id=37045132}


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