Email this article On the additive energy of the Heilbronn subgroup
- Authors: V’yugin I.V.1,2, Solodkova E.V.1, Shkredov I.D.3,4
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Affiliations:
- Institute for Information Transmission Problems
- National Research University Higher School of Economics
- Steklov Mathematical Institute of Russian Academy of Sciences
- Demidov Yaroslavl State University
- Issue: Vol 101, No 1-2 (2017)
- Pages: 58-70
- Section: Volume 101, Number 1, January, 2017
- URL: https://ogarev-online.ru/0001-4346/article/view/149936
- DOI: https://doi.org/10.1134/S0001434617010060
- ID: 149936
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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.
About the authors
I. V. V’yugin
Institute for Information Transmission Problems; National Research University Higher School of Economics
Author for correspondence.
Email: vyugin@gmail.com
Russian Federation, Moscow; Moscow
E. V. Solodkova
Institute for Information Transmission Problems
Email: vyugin@gmail.com
Russian Federation, Moscow
I. D. Shkredov
Steklov Mathematical Institute of Russian Academy of Sciences; Demidov Yaroslavl State University
Email: vyugin@gmail.com
Russian Federation, Moscow; Yaroslavl
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