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On the additive energy of the Heilbronn subgroup

Mathematical notes. 2017. Vol. 101. No. 1. P. 58–70.
Vyugin I. V., Solodkova E. V., Shkredov I. D.

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

Language: English
DOI
Keywords: convolutionadditive energyStepanov’s methodHeilbronn subgroupHeilbronn’s trigonometric sum
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