Some new results on higher energies
classification
🧮 math.CO
keywords
energieshighersetsdevelopresultsadditiveboundsconvex
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In the paper we develop the method of higher energies. New upper bounds for the additive energies of convex sets, sets A with small |AA| and |A(A+1)| are obtained. We prove new structural results, including higher sumsets, and develop the notion of dual popular difference sets.
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