I. V. Vyugin, E. V. Solodkova, I. D. Shkredov, “On the Additive Energy of the Heilbronn Subgroup”, Mat. Zametki, 2017, Volume 101, Issue 1,Pages <nobr>43

This article is cited in 1 paper

On the Additive Energy of the Heilbronn Subgroup

I. V. Vyugin^ab, E. V. Solodkova^a, I. D. Shkredov^cd

^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.

UDC: 517.518.45

Received: 21.02.2016

DOI: 10.4213/mzm11150