Moments of an exponential sum related to the divisor function

TL;DR

This paper employs the circle method to derive precise bounds on the L^p norm of an exponential sum associated with the divisor function for p greater than 2.

Contribution

It provides new tight bounds on the L^p norm of a divisor-related exponential sum using advanced analytical techniques.

Findings

Established sharp bounds for the exponential sum's L^p norm

Extended understanding of divisor function exponential sums for p > 2

Applied the circle method to a novel problem setting

Abstract

We use the circle method to obtain tight bounds on the $L^p$ norm of an exponential sum involving the divisor function for $p > 2$.