Sums of multiplicative characters with additive convolutions

2016/06/01 by Ilya D. Shkredov, Shkredov, Ilya D., Aleksei Volostnov +1 · 1 citation
Mathematics · #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Limits and Structures in Graph Theory #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1606.00358

openalex publication_date 2016/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Cited by

• Burgess-type character sum estimates over generalized arithmetic progressions of rank 2

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