On integrable and bounded automorphic forms. II
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- by T. A. Metzger and K. V. Rajeswara Rao PDF
- Proc. Amer. Math. Soc. 32 (1972), 201-204 Request permission
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.References
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- T. A. Metzger and K. V. Rajeswara Rao, On integrable and bounded automorphic forms, Proc. Amer. Math. Soc. 28 (1971), 562–566. MR 280713, DOI 10.1090/S0002-9939-1971-0280713-7
- K. V. Rajeswara Rao, Fuchsian groups of convergence type and Poincaré series of dimension $-2$, J. Math. Mech. 18 (1968/1969), 629–644. MR 0237784
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 32 (1972), 201-204
- MSC: Primary 30A58
- DOI: https://doi.org/10.1090/S0002-9939-1972-0293085-X
- MathSciNet review: 0293085