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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Cusp forms associated to rank $2$ parabolic subgroups of Kleinian groups
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by Irwin Kra PDF
Proc. Amer. Math. Soc. 111 (1991), 803-814 Request permission

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.
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Additional 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