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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Contributions from conjugacy classes of regular elliptic elements in $ {\rm Sp}(n,\,{\bf Z})$ to the dimension formula


Author: Min King Eie
Journal: Trans. Amer. Math. Soc. 285 (1984), 403-410
MSC: Primary 11F46; Secondary 11F72
MathSciNet review: 748846
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Abstract: The dimension of the space of cusp forms on the degree $ n$ Siegel upper half-space can be obtained from the Selberg trace formula; in this paper we compute the contribution from the conjugacy classes of regular elliptic elements in $ \operatorname{Sp}(n,{\mathbf{Z}})$ using Weyl's character formula for representations of $ {\text{GL}}(n,{\mathbf{C}})$.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1984-0748846-X
PII: S 0002-9947(1984)0748846-X
Article copyright: © Copyright 1984 American Mathematical Society