English

On bilinear sums with modular square roots and applications II

Number Theory 2026-03-24 v2

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.

Keywords

Cite

@article{arxiv.2603.00768,
  title  = {On bilinear sums with modular square roots and applications II},
  author = {Stephan Baier},
  journal= {arXiv preprint arXiv:2603.00768},
  year   = {2026}
}

Comments

30 pages

R2 v1 2026-07-01T10:57:25.335Z