Work

Character sums with smooth numbers

Year: 2017

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1705.10148

Author: Shparlinski, Igor E.

Institution: UNSW Sydney

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Université Paris Diderot, Australian Research Council

Award: New Applications of Additive Combinatorics in Number Theory and Graph Theory

OpenAlex ID: W2953067987

Cites: 3

Cited by:

Related to: 20