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Eichler cohomology of generalized modular forms of real weights


Author: Wissam Raji
Journal: Proc. Amer. Math. Soc. 141 (2013), 383-392
MSC (2010): Primary 11F11, 11F20
DOI: https://doi.org/10.1090/S0002-9939-2012-11315-2
Published electronically: May 29, 2012
Corrigendum: Proc. Amer. Math. Soc. 143 (2015), 1363--1364
MathSciNet review: 2996943
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Abstract: In this paper, we prove the Eichler cohomology theorem of weakly parabolic generalized modular forms of real weights on subgroups of finite index in the full modular group. We explicitly establish the isomorphism for large weights by constructing the map from the space of cusp forms to the cohomology group.


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Wissam Raji
Affiliation: Department of Mathematics, American University of Beirut, Beirut, Lebanon

DOI: https://doi.org/10.1090/S0002-9939-2012-11315-2
Keywords: Eichler cohomology, generalized modular forms
Received by editor(s): June 24, 2011
Published electronically: May 29, 2012
Communicated by: Ken Ono
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.