Speakers

Title: One level and n-level density for a large orthogonal family of L-functions

Abstract: We study a new orthogonal family of $L$-functions associated with holomorphic Hecke newforms of level $q$, averaged over $q \asymp Q$.  I will describe joint work with Baluyot and Chandee on a one level density result assuming GRH with the support of the Fourier transform of the test function being extended to be inside $(-4, 4)$, which doubles the range from previous results.  I will further describe ongoing work with Chandee and Lee on proving an n-level density result for the same family with a similar range.