Large sieve inequality for power moduli

TL;DR

This paper presents a new bound for the large sieve inequality involving power moduli, improving previous bounds within certain parameter ranges.

Contribution

It introduces an improved large sieve inequality for power moduli, advancing the theoretical understanding of character sums in number theory.

Findings

Enhanced bounds for large sieve with power moduli

Improved parameter range for existing inequalities

Contributes to analytic number theory methods

Abstract

In this note we give a new bound for large sieve with characters to power moduli which improves in some range of the parameters the previous bounds of Baier/Zhao and Halupczok.