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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On integrable and bounded automorphic forms. II


Authors: T. A. Metzger and K. V. Rajeswara Rao
Journal: Proc. Amer. Math. Soc. 32 (1972), 201-204
MSC: Primary 30A58
MathSciNet review: 0293085
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Abstract: For a finitely generated Fuchsian group, every integrable automorphic form of arbitrary real dimension $ < - 2$ is bounded. If the group is, in addition, of second kind, then every integrable automorphic form of dimension $ - 2$, with arbitrary factors of automorphy, is zero.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0293085-X
Keywords: Fuchsian group, finitely generated, factors of automorphy, character, automorphic forms, bounded, integrable
Article copyright: © Copyright 1972 American Mathematical Society