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- W2949160950 abstract "Following the sum-product paradigm, we prove that for a set $B$ with polynomial growth, the product set $B.B$ cannot contain large subsets with size of order $|B|^2$ with small doubling. It follows that the additive energy of $B.B$ is asymptotically $o(|B|^6)$. In particular, we extend to sets of small doubling and polynomial growth the classical Multiplication Table theorem of ErdH{o}s saying that $|[1..n]. [1..n]| = o(n^2)$." @default.
- W2949160950 created "2019-06-27" @default.
- W2949160950 creator A5049220054 @default.
- W2949160950 date "2015-02-12" @default.
- W2949160950 modified "2023-09-27" @default.
- W2949160950 title "On sets with small additive doubling in product sets" @default.
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