Biases of modular forms from the trace formula
Presenter
July 7, 2023
Event: Murmurations in Arithmetic
Abstract
I will discuss some biases of certain spectral biases of modular forms that one can prove with the trace formula. These include biases with respect to root number, Atkin-Lehner eigenvalues and Hecke eigenvalues. These biases explain some aspects of the murmuration phenomena.