Character sums over Bohr sets

Abstract

We prove character sum estimates for additive Bohr subsets modulo a prime. These estimates are analogous to classical character sum bounds of Polya-Vinogradov and Burgess. These estimates are applied to obtain results on recurrence mod $p$ by special elements.

15 pages. To appear in the Canadian Mathematical Bulletin

References in corpus (2)

• On Character Sums and Exponential Sums over Generalized Arithmetic Progressions
• Simultaneous Polynomial Recurrence