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Mat. Zametki, 2017, Volume 101, Issue 1, Pages 43–57 (Mi mz11150)  

On the Additive Energy of the Heilbronn Subgroup

I. V. Vyuginab, E. V. Solodkovaa, I. D. Shkredovcd

a Institute for Information Transmission Problems, Russian Academy of Sciences
b National Research University "Higher School of Economics" (HSE), Moscow
c P.G. Demidov Yaroslavl State University
d Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: A new upper bound for the additive energy of the Heilbronn subgroup is found. Several applications to the distribution of Fermat quotients are obtained.

Keywords: Heilbronn's trigonometric sum, Heilbronn subgroup, Stepanov's method, additive energy, convolution.

Funding Agency Grant Number
Russian Science Foundation 14-50-00150
This work was carried out at the Institute for Information Transmission Problems of the Russian Academy of Sciences and the Steklov Mathematical Institute of the Russian Academy of Sciences and was supported by the Russian Science Foundation under grant 14-50-00150.


DOI: https://doi.org/10.4213/mzm11150

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English version:
Mathematical Notes, 2017, 101:1, 58–70

Bibliographic databases:

Document Type: Article
UDC: 517.518.45
Received: 21.02.2016

Citation: I. V. Vyugin, E. V. Solodkova, I. D. Shkredov, “On the Additive Energy of the Heilbronn Subgroup”, Mat. Zametki, 101:1 (2017), 43–57; Math. Notes, 101:1 (2017), 58–70

Citation in format AMSBIB
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