Speaker: Naomi Tanabe (Bowdoin College)

Title: Asymptotics of Moments of L-functions

Abstract: Moments of L-functions provide a powerful tool for understanding the distribution of the values of L-functions, particularly on the critical line. They capture subtle information about the size and zeros of L-values that lies beyond the reach of individual estimates. In this talk, I will survey recent progress on the moment problem across several families of L-functions and then discuss ongoing joint work with Alia Hamieh, aimed at establishing asymptotics of the second moments of L-functions associated with modular forms.