Character sums with smooth numbers

Abstract

We use the large sieve inequality for smooth numbers due to S. Drappeau, A. Granville and X. Shao (2017), together with some other arguments, to improve their bounds on the frequency of pairs $(q,\chi )$ of moduli $q$ and primitive characters $\chi$ modulo $q$, for which the corresponding character sums with smooth numbers are large.

References in corpus (1)

• Bombieri--Vinogradov and Barban--Davenport--Halberstam type theorems for smooth numbers