On bilinear sums with modular square roots and applications II

Abstract

In this article, we continue our recent investigations on bilinear sums and additive energies with modular square roots. Here we improve our recent results for the case when the ranges of variables are large. We use these results to make further partial progress on the large sieve for square moduli.

This work has been merged into and superseded by arXiv:2605.01635