A large sieve inequality for characters to quadratic moduli
Volume 222 / 2026
Acta Arithmetica 222 (2026), 295-325
MSC: Primary 11L40; Secondary 11B57, 11L07, 11L15, 11M26, 11N35
DOI: 10.4064/aa240923-21-1
Published online: 14 March 2026
Abstract
We establish a large sieve inequality for additive characters to moduli in the range of appropriate integer polynomials of degree two. As an application, we derive a weighted zero-density estimate for twists of $L$-functions associated to multiplicative characters with conductor of this form.
