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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 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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On some constants in the supercuspidal characters of $\operatorname {GL}_l$, $l$ a prime $\neq p$
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by Tetsuya Takahashi
Trans. Amer. Math. Soc. 357 (2005), 2509-2526
DOI: https://doi.org/10.1090/S0002-9947-04-03727-4
Published electronically: December 29, 2004

Abstract:

The article gives explicit values of some constants which appear in the character formula for the irreducible supercuspidal representation of $\operatorname {GL}_l(F)$ for $F$ a local field of the residual characteristic $p\neq l$.
References
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Bibliographic Information
  • Tetsuya Takahashi
  • Affiliation: Department of Mathematics and Information Science, College of Integrated Arts and Sciences, Osaka Prefecture University, 1-1 Gakuen-cho, Osaka 599-8531, Japan
  • Email: takahasi@mi.cias.osakafu-u.ac.jp
  • Received by editor(s): January 7, 2004
  • Published electronically: December 29, 2004
  • © Copyright 2004 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 357 (2005), 2509-2526
  • MSC (2000): Primary 22E50; Secondary 11F70
  • DOI: https://doi.org/10.1090/S0002-9947-04-03727-4
  • MathSciNet review: 2140448