Power sums of Coxeter exponents

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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), α, β (two further parameters). © 2012 Elsevier Ltd.

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Burns, J. M., & Suter, R. (2012). Power sums of Coxeter exponents. Advances in Mathematics, 231(3–4), 1291–1307. https://doi.org/10.1016/j.aim.2012.06.020

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