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Explicit quadratic large sieve inequality

Volume 223 / 2026

Zihao Liu 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.

Authors

  • Zihao LiuDepartment of Mathematics
    University College London
    London WC1H 0AY, UK
    and
    Department of Mathematics
    Stanford University
    Stanford, CA 94305, USA
    e-mail

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