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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Contributions from conjugacy classes of regular elliptic elements in $\textrm {Sp}(n, \textbf {Z})$ to the dimension formula
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by Min King Eie PDF
Trans. Amer. Math. Soc. 285 (1984), 403-410 Request permission

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
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 285 (1984), 403-410
  • MSC: Primary 11F46; Secondary 11F72
  • DOI: https://doi.org/10.1090/S0002-9947-1984-0748846-X
  • MathSciNet review: 748846