4 papers
One-level densities of large even and odd orthogonal families of automorphic L-functions
Vorrapan Chandee, Xiannan Li, Micah B. Milinovich
We prove one-level density results for L-functions attached to primitive forms of level q, averaged over square-free q, conditional on the Generalized Riemann Hypothesis (GRH). We…
The centered moments of a large orthogonal family of automorphic -functions
Vorrapan Chandee, Yoonbok Lee, Xiannan Li
We obtain the th centered moments of one level densities of a large orthogonal family of -functions associated with holomorphic Hecke newforms of level , averaged over $q\…
The sixth moment of Dirichlet L-functions at the central point
Vorrapan Chandee, Xiannan Li, Kaisa Matomäki +1
In 1970, Huxley obtained a sharp upper bound for the sixth moment of Dirichlet -functions at the central point, averaged over primitive characters modulo and all moduli…
Low-lying zeros of a large orthogonal family of automorphic -functions
Siegfred Baluyot, Vorrapan Chandee, Xiannan Li
We study a new orthogonal family of -functions associated with holomorphic Hecke newforms of level , averaged over . To illustrate our methods, we prove a one lev…