Seminar Event Detail

Group, Lie and Number Theory

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
Institution:  POSTECH

Event Organizer:   Jeff Lagarias   


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