On a question of A. Balog

2015/01/29 by Ilya D. Shkredov, Shkredov, Ilya D.
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #math.CO #math.NT

paper · pdf · doi:10.48550/arxiv.1501.07498

11 pages

arxiv created 2015/01/29 · arxiv updated 2015/01/30

Abstract

We give a partial answer to a conjecture of A. Balog, concerning the size of AA+A, where A is a finite subset of real numbers. Also, we prove several new results on the cardinality of A:A+A, AA+AA and A:A + A:A.

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