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Character sums associated to finite Coxeter groups |
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| Authors: | Jan Denef Franç ois Loeser |
| Institution: | Department of Mathematics, University of Leuven, Celestijnenlaan 200B, 3001 Leuven, Belgium ; 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) |
| 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. |
| Keywords: | Character sums finite fields Coxeter groups monodromy $\ell$-adic cohomology |
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