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...

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Bibliographic Details
Main Authors: Bruggeman, Roelof, Choie, YoungJu, Diamantis, Nikolaos
Format: Article
Language:English
Published: American Mathematical Society 2018
Online Access:https://eprints.nottingham.ac.uk/41245/