Moment estimates for exponential sums over k-free numbers

TL;DR

This paper studies the size of L^p-integrals for exponential sums over k-free numbers and establishes nearly optimal bounds, advancing understanding in analytic number theory.

Contribution

It provides new tight bounds for exponential sums over k-free numbers, improving previous estimates in the field.

Findings

Established essentially tight bounds for L^p-integrals

Enhanced understanding of exponential sums over k-free numbers

Contributed to analytic number theory techniques

Abstract

We investigate the size of L^p-integrals for exponential sums over k-free numbers and prove essentially tight bounds.