A generating functions of periods of modular forms
Heilbronn Number Theory Seminar
10th March 2021, 11:00 am – 12:00 pm
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 $N$ is known. When $N=1$ this was result given by Zagier in 1991.
We discuss more general results regarding on this direction.