On the additive energy of the Heilbronn subgroup


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

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I. V’yugin

Institute for Information Transmission Problems; National Research University Higher School of Economics

编辑信件的主要联系方式.
Email: vyugin@gmail.com
俄罗斯联邦, Moscow; Moscow

E. Solodkova

Institute for Information Transmission Problems

Email: vyugin@gmail.com
俄罗斯联邦, Moscow

I. Shkredov

Steklov Mathematical Institute of Russian Academy of Sciences; Demidov Yaroslavl State University

Email: vyugin@gmail.com
俄罗斯联邦, Moscow; Yaroslavl

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