Power sums of Coxeter exponents
arXiv:1101.5082 · doi:10.1016/j.aim.2012.06.020
Abstract
Consider an irreducible finite Coxeter system. We show that for any nonnegative integer n the sum of the nth powers of the Coxeter exponents can be written uniformly as a polynomial in four parameters: h (the Coxeter number), r (the rank), and two further parameters.
14 pages