Holomorphic Automorphic Forms and Cohomology
Holomorphic Automorphic Forms and Cohomology
We investigate the correspondence between holomorphic automorphic forms on the upper half-plane with complex weight and parabolic cocycles.For integral weights at least 2 this correspondence is given by the Eichler integral.We use Knopp's generalization of this integral to real weights, and apply it to complex weights that are not an …