|Date: Monday, January 09, 2017
Location: 4088 East Hall (4:10 PM to 5:30 PM)
Title: Periods of modular forms on Gamma_0(N) and products of Jacobi theta functions
Abstract: We give a closed formula for the sum of all Hecke eigenforms on Gamma_0(N), multiplied by their odd period polynomials in two variables, as a single product of Jacobi theta series for any squarefree level N. We also show that for N = 2, 3 and 5 this formula completely determines the Fourier expansions of all Hecke eigenforms of all weights on Gamma_0(N). This is a generalization of a result of Zagier in 1991 for modular forms of level one.
This is a joint work with Yoonkyung Park and Don Zagier.
Speaker: YoungJu Choie
Event Organizer: Jeff Lagarias