Character sums estimates and an application to a problem of Balog

2020/04/04 by Tomasz Schoen, Schoen, Tomasz, Ilya D. Shkredov +1 · 1 citation
Mathematics · #Limits and Structures in Graph Theory #Analytic Number Theory Research #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.2004.01885

Abstract

We prove new bounds for sums of multiplicative characters over sums of set with small doubling and applying this result we break the square--root barrier in a problem of Balog concerning products of differences in a field of prime order.

Cited by

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

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