English

Character sums with smooth numbers

Number Theory 2017-06-13 v2

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

Keywords

Cite

@article{arxiv.1705.10148,
  title  = {Character sums with smooth numbers},
  author = {Igor E. Shparlinski},
  journal= {arXiv preprint arXiv:1705.10148},
  year   = {2017}
}
R2 v1 2026-06-22T20:02:07.944Z