A closed formula for the sum of all Hecke eigenforms on Γ0(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 result regarding on this direction.
22. Juni 2021, 10:00-11:00