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arxiv: 1501.07498 · v1 · pith:5IALPGAPnew · submitted 2015-01-29 · 🧮 math.CO · math.NT

On a question of A. Balog

classification 🧮 math.CO math.NT
keywords baloganswercardinalityconcerningconjecturefinitegivenumbers
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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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