Sums of multiplicative characters with additive convolutions

Sums of multiplicative characters with additive convolutions

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

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Veröffentlicht in:arXiv.org 2016-06
Hauptverfasser: Shkredov, Ilya D, Volostnov, Aleksei S
Format: Artikel
Sprache:eng
Schlagworte:
Characteristic functions
Sums
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Zusammenfassung:In the paper we obtain new estimates for binary and ternary sums of multiplicative characters with additive convolutions of characteristic functions of sets, having small additive doubling. In particular, we improve a result of M.-C. Chang. The proof uses Croot-Sisask almost periodicity lemma.
ISSN:2331-8422