On bilinear sums with modular square roots and applications II

Fuente: arXiv
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Autor principal: Baier, Stephan
Formato: Preprint
Publicado: 2026
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author Baier, Stephan
author_facet Baier, Stephan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2603_00768
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On bilinear sums with modular square roots and applications II
Baier, Stephan
Number Theory
11L05, 11L07, 11L26, 11L40, 11J54, 11J71, 11K36, 11N35
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.
title On bilinear sums with modular square roots and applications II
topic Number Theory
11L05, 11L07, 11L26, 11L40, 11J54, 11J71, 11K36, 11N35
url https://arxiv.org/abs/2603.00768