Cusp forms associated to rank $2$ parabolic subgroups of Kleinian groups
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- by Irwin Kra
- Proc. Amer. Math. Soc. 111 (1991), 803-814
- DOI: https://doi.org/10.1090/S0002-9939-1991-1056679-1
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Abstract:
To each rank 2 parabolic subgroup of a Kleinian group $\Gamma$, we associate a cusp form and a linear functional on the Eichler cohomology space $P{H^1}(\Gamma ,{\Pi _{2q - 2}})$. We explore the relation between these two objects and as a consequence we evaluate certain Poincaré series for rank 2 parabolic groups.References
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Bibliographic Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 111 (1991), 803-814
- MSC: Primary 30F40; Secondary 11F12, 20H10, 32N10
- DOI: https://doi.org/10.1090/S0002-9939-1991-1056679-1
- MathSciNet review: 1056679