We obtain a non--trivial 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 growth of conjugates classes, estimates of exponential sums and the restriction phenomenon.
A non-trivial upper bound on the threshold bias of the Oriented-cycle game
Closed formulas for exponential sums of symmetric polynomials over Galois fields
More on the number of distinct values of a class of functions
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