paper

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

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