Sums of multiplicative characters with additive convolutions


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We obtain new estimates for binary and ternary sums of multiplicative characters with additive convolutions of characteristic functions of sets with small additive doubling. In particular, we improve a result of Mei-Chu Chang. The proof uses the Croot–Sisask almost periodicity lemma.

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A. Volostnov

Steklov Mathematical Institute of Russian Academy of Sciences

编辑信件的主要联系方式.
Email: gyololo@rambler.ru
俄罗斯联邦, ul. Gubkina 8, Moscow, 119991

I. Shkredov

Steklov Mathematical Institute of Russian Academy of Sciences

Email: gyololo@rambler.ru
俄罗斯联邦, ul. Gubkina 8, Moscow, 119991

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