On bilinear sums with modular square roots and applications II

2026/02/28 by Stephan Baier · 2 citations
Mathematics · #math.NT

paper · pdf

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.

Cited by

• On bilinear sums with modular square roots and applications III
• Partial progress towards the large sieve for square moduli

Related

• On bilinear sums with modular square roots and applications III
• The large sieve for square moduli, revisited
• Partial progress towards the large sieve for square moduli
• Energy bounds, bilinear sums and their applications in function fields
• Bilinear forms in Weyl sums for modular square roots and applications