# Generalized divisor functions in arithmetic progressions: II

## TL;DR

This paper establishes a new bound on the second moment of modified shifted convolutions of the generalized 3-fold divisor function, enhancing understanding of divisor functions in arithmetic progressions.

## Contribution

It provides a novel bound on the second moment for a modified divisor function convolution, advancing analytical techniques in number theory.

## Key findings

- New bound on second moment of modified shifted convolutions
- Modified divisor function is sufficient for key applications
- Improves analytical tools for divisor functions in progressions

## Abstract

We obtain a new bound on the second moment of modified shifted convolutions of the generalized 3-fold divisor function, and show that, for applications, the modified version is sufficient.