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On multiplicative energy of subsets of varieties
Published online by Cambridge University Press: 13 January 2022
Abstract
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.
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- © Canadian Mathematical Society, 2022
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This work is supported by the Russian Science Foundation under grant 19-11-00001.
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