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On a question of A. Balog

Published 29 Jan 2015 in math.CO and math.NT | (1501.07498v1)

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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