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math.NT2023
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…
math.NT2023
The eighth moment of Dirichlet L-functions II
Vorrapan Chandee, Xiannan Li, Kaisa Matomäki +1
We prove an asymptotic formula for the eighth moment of Dirichlet -functions averaged over primitive characters modulo , over all moduli and with a short averag…