Character sums associated to finite Coxeter groups
Trans. Amer. Math. Soc. 350 (1998), 5047-5066. 

Jan Denef 
Department of Mathematics, University of Leuven, Celestijnenlaan 200B, 
3001 Leuven, Belgium 
and 
Fran\s{c}ois Loeser
Centre de Math\'ematiques, Ecole Polytechnique, F-91128 Palaiseau 
(URA 169 du CNRS), and Institut de Math\'ematiques, Universit\'e 
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.