Garaev, M.Z.

A quantified version of Bourgain's sum-product estimate in $\Bbb F_{p}$ for subsets of incomparable sizes

Electron. J. Comb. 15(1), Research Paper R58, 8 p. (2008)

Summary

Summary: Let Fp be the field of residue classes modulo a prime number p. In this paper we prove that if A, B $\subset F\ast $p, then for any fixed $\epsilon > 0$, p $1/25 - \epsilon $|A + A| + |AB| min |B|, |A|.

Mathematics Subject Classification

11B75, 11T23

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