On multiplicative energy of subsets of varieties
Canadian journal of mathematics, Tome 75 (2023) no. 1, pp. 322-340
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We obtain a nontrivial upper bound for the multiplicative energy of any sufficiently large subset of a subvariety of a finite algebraic group. We also find some applications of our results to the growth of conjugates classes, estimates of exponential sums, and restriction phenomenon.
Mots-clés :
Multiplicative energy, varieties, restriction phenomenon
Shkredov, Ilya D. On multiplicative energy of subsets of varieties. Canadian journal of mathematics, Tome 75 (2023) no. 1, pp. 322-340. doi: 10.4153/S0008414X21000687
@article{10_4153_S0008414X21000687,
author = {Shkredov, Ilya D.},
title = {On multiplicative energy of subsets of varieties},
journal = {Canadian journal of mathematics},
pages = {322--340},
year = {2023},
volume = {75},
number = {1},
doi = {10.4153/S0008414X21000687},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X21000687/}
}
TY - JOUR AU - Shkredov, Ilya D. TI - On multiplicative energy of subsets of varieties JO - Canadian journal of mathematics PY - 2023 SP - 322 EP - 340 VL - 75 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008414X21000687/ DO - 10.4153/S0008414X21000687 ID - 10_4153_S0008414X21000687 ER -
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