Generalized Maass wave forms

Mühlenbruch, T.; Raji, W.

doi:10.1090/S0002-9939-2012-11557-6

Generalized Maass wave forms
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by T. Mühlenbruch and W. Raji PDF

Proc. Amer. Math. Soc. 141 (2013), 1143-1158 Request permission

Abstract:

We initiate the study of generalized Maass wave forms, those Maass wave forms for which the multiplier system is not necessarily unitary. We then prove some basic theorems inherited from the classical theory of modular forms with a generalization of some examples from the classical theory of Maass forms.

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