Eichler cohomology in general weights using spectral theory
Eichler cohomology in general weights using spectral theory
In this paper, we construct a pairing between modular forms of positive real weight and elements of certain Eichler cohomology groups that were introduced by Knopp in 1974. We use spectral theory of automorphic forms to show that this pairing is perfect for all positive weights except 1. The approach …