Character sums with smooth numbers

2017/05/29 by Shparlinski, Igor E.
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1705.10148

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,χ) of moduli q and primitive characters χ modulo q, for which the corresponding character sums with smooth numbers are large.

Related

• Large sieve inequality for power moduli
• Large sums of high order characters II
• The maximum size of short character sums
• Estimates for character sums and Dirichlet L-functions to smooth moduli
• A large sieve inequality for characters to quadratic moduli