Explicit quadratic large sieve inequality
Volume 223 / 2026
Acta Arithmetica 223 (2026), 227-252
MSC: Primary 11L40; Secondary 11N35, 11L26, 11N36
DOI: 10.4064/aa250722-27-1
Published online: 19 May 2026
Abstract
We obtain an explicit version of Heath-Brown’s large sieve inequality for quadratic characters and discuss its applications to $L$-functions and quadratic fields.