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.

arXiv comment9 pages

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Cited by in corpus (1)

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