One-level density of quadratic twists of $L$-functions

Abstract

In this paper, we investigate the one-level density of low-lying zeros of quadratic twists of automorphic $L$-functions under the generalized Riemann hypothesis and the Ramanujan-Petersson conjecture. We improve upon the known results using only functional equations for quadratic Dirichlet $L$-functions.

9 pages

References in corpus (1)

• Low-lying zeros of quadratic Dirichlet $L$-functions: A transition in the Ratios Conjecture

Cited by in corpus (1)

• Twisted first moment of quadratic and quadratic twist $L$-functions