|
This article is cited in 1 scientific paper (total in 1 paper)
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.
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
Linking options:
https://www.mathnet.ru/eng/mzm11150https://doi.org/10.4213/mzm11150 https://www.mathnet.ru/eng/mzm/v101/i1/p43
|
Statistics & downloads: |
Abstract page: | 588 | Full-text PDF : | 49 | References: | 36 | First page: | 40 |
|