Multi-fold sums from a set with few products

2011/06/29 by Liangpan Li, Li, Liangpan
Mathematics · #Advanced Topology and Set Theory #Analytic Number Theory Research #Limits and Structures in Graph Theory #math.CO

paper · pdf · doi:10.48550/arxiv.1106.6074

arxiv created 2011/06/29 · arxiv updated 2011/07/01

Abstract

In this paper we show that for any k≥2, there exist two universal constants C_k,D_k>0, such that for any finite subset A of positive real numbers with |AA|≤ M|A|, |kA|≥ \fracC_kM^D_k⋅|A|^log₄2k.

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