The square sieve and the large sieve with square moduli

TL;DR

This paper presents an alternative proof using Heath-Brown's square sieve for a bound related to the large sieve with square moduli, simplifying previous approaches.

Contribution

It provides a concise alternative proof for a key bound in the large sieve with square moduli, enhancing understanding and methodology.

Findings

Simplified proof of the large sieve bound with square moduli

Application of Heath-Brown's square sieve in this context

Potential for easier extensions or related bounds

Abstract

We give a short alternative proof using Heath-Brown's square sieve of a bound of the author for the large sieve with square moduli.