Number Theory Seminar

Date: April 13, 2023

Time: 2:30PM - 3:30PM

Location: BLOC 302

Speaker: Matthew Kroesche, Texas A&M University

Title: Low-lying zeros of a family of automorphic forms

Abstract: In their paper “Low-Lying Zeros of Families of L-Functions”, Iwaniec, Luo, and Sarnak calculated the distribution of low-lying zeros of families of modular L-functions in level aspect for test functions with support contained in (−2, 2). In this work, we extend this result to thin (in the p-adic sense) subfamilies of these families, obtained by twisting lower-level modular forms by a character, and investigate what can be said about the support and the lower-order terms in the one-level density in this case.