Abstract:
This article is concerned with the method of higher energies from combinatorial number theory. Upper bounds are obtained for the additive energies of convex sets and of sets A with small |AA| and |A(A+1)|. New structural results, involving the notion of a dual popular difference set, are proved in terms of higher energies.
Key words and phrases:
combinatorial number theory; higher energies; popular difference set.
Citation:
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Citation in format AMSBIB
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