Geodesic
On the Additive Energy of the Heilbronn Subgroup
Matematičeskie zametki, Tome 101 (2017) no. 1, pp. 43-57

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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.
Keywords: Heilbronn's trigonometric sum, Heilbronn subgroup, Stepanov's method, additive energy
Mots-clés : convolution. 
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     title = {On the {Additive} {Energy} of the {Heilbronn} {Subgroup}},
     journal = {Matemati\v{c}eskie zametki},
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I. V. Vyugin; E. V. Solodkova; I. D. Shkredov. On the Additive Energy of the Heilbronn Subgroup. Matematičeskie zametki, Tome 101 (2017) no. 1, pp. 43-57. http://geodesic.mathdoc.fr/item/MZM_2017_101_1_a3/