Power sums of Coxeter exponents
  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. 
John M. Burns, Ruedi Suter
math.CO math.RT