Number Theory Seminar

Date: April 27, 2023

Time: 2:30PM - 3:30PM

Location: BLOC 302

Speaker: Agniva Dasgupta, Texas A&M University

Title: Second Moment of Twisted Cusp Forms Along a Coset

Abstract: We prove Lindelöf-on-average upper bound for the second moment of the L-function associated to a level 1 holomorphic cusp form, twisted along a coset of subgroup of the characters modulo q^{2/3} (where q = p^3 for some odd prime p). This result should be seen as a q-aspect analogue of Anton Good’s (1982) result on upper bounds of the second moment of cusp forms in short intervals.