English

Explicit quadratic large sieve inequality

Number Theory 2026-05-28 v2

Abstract

In this article, we obtain an explicit version of Heath-Brown's large sieve inequality for quadratic characters and discuss its applications to LL-functions and quadratic fields.

Keywords

Cite

@article{arxiv.2505.09637,
  title  = {Explicit quadratic large sieve inequality},
  author = {Zihao Liu},
  journal= {arXiv preprint arXiv:2505.09637},
  year   = {2026}
}
R2 v1 2026-06-28T23:33:28.181Z