Presented By: Department of Mathematics
Group, Lie and Number Theory
Periods of modular forms on Gamma_0(N) and products of Jacobi theta functions
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(s): YoungJu Choie (POSTECH)
This is a joint work with Yoonkyung Park and Don Zagier. Speaker(s): YoungJu Choie (POSTECH)
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