Cyclotomic Factors of Coxeter Polynomials

Gross, BenedictHironaka, ErikoMcMullen, Curtis2009-12-212009Gross, Benedict H., Eriko Hironaka, and Curtis T. McMullen. 2009. Cyclotomic factors of coxeter polynomials. Journal of Number Theory 129(5): 1034-1043.0022-314Xhttp://nrs.harvard.edu/urn-3:HUL.InstRepos:3446011In this paper we show that the cyclotomic factors of the En Coxeter polynomials depend only on the value of \(n\) mod 360, and come exclusively from spherical subdiagrams.en-USadjacency matricesSalem polynomialsCyclotomic Factors of Coxeter PolynomialsJournal Article2009-12-2110.1016/j.jnt.2008.09.021