On multiplicative energy of subsets of varieties
Canadian journal of mathematics, Tome 75 (2023) no. 1, pp. 322-340

Voir la notice de l'article provenant de la source Cambridge

DOI

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.
DOI : 10.4153/S0008414X21000687
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  - 
%0 Journal Article
%A Shkredov, Ilya D.
%T On multiplicative energy of subsets of varieties
%J Canadian journal of mathematics
%D 2023
%P 322-340
%V 75
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008414X21000687/
%R 10.4153/S0008414X21000687
%F 10_4153_S0008414X21000687

Cité par Sources :