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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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Character sums associated to finite Coxeter groups
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by Jan Denef and François Loeser PDF
Trans. Amer. Math. Soc. 350 (1998), 5047-5066 Request permission

Abstract:

The main result of this paper is a character sum identity for Coxeter arrangements over finite fields which is an analogue of Macdonald’s conjecture proved by Opdam.
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Additional Information
  • Jan Denef
  • Affiliation: Department of Mathematics, University of Leuven, Celestijnenlaan 200B, 3001 Leuven, Belgium
  • Email: Jan.Denef@wis.kuleuven.ac.be
  • François Loeser
  • Affiliation: Centre de Mathématiques, Ecole Polytechnique, F-91128 Palaiseau (URA 169 du CNRS), and Institut de Mathématiques, Université P. et M. Curie, Case 82, 4 place Jussieu, F-75252 Paris Cedex 05 (UMR 9994 du CNRS)
  • MR Author ID: 115300
  • ORCID: 0000-0002-7065-5497
  • Email: loeser@math.polytechnique.fr
  • Received by editor(s): March 29, 1996
  • Received by editor(s) in revised form: January 24, 1997
  • © Copyright 1998 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 350 (1998), 5047-5066
  • MSC (1991): Primary 11T24, 11L05; Secondary 33C80
  • DOI: https://doi.org/10.1090/S0002-9947-98-02025-X
  • MathSciNet review: 1443870