A large sieve inequality for characters to quadratic moduli

C. C. Corrigan

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arXiv · 2410.05704

A large sieve inequality for characters to quadratic moduli

C. C. Corrigan

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Abstract

In this article, 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.

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C. C. Corrigan. 2024-10-08. A large sieve inequality for characters to quadratic moduli. https://arxiv.org/abs/2410.05704

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