Results 1 
2 of
2
Conjugate reciprocal polynomials with all roots on the unit circle
 MR MR2442050
"... We study the geometry, topology and Lebesgue measure of the set of monic conjugate reciprocal polynomials of fixed degree with all roots on the unit circle. The set of such polynomials of degree N is naturally associated to a subset of R Nā1. We calculate the volume of this set, prove the set is hom ..."
Abstract

Cited by 2 (0 self)
 Add to MetaCart
We study the geometry, topology and Lebesgue measure of the set of monic conjugate reciprocal polynomials of fixed degree with all roots on the unit circle. The set of such polynomials of degree N is naturally associated to a subset of R Nā1. We calculate the volume of this set, prove the set is homeomorphic to the N ā 1 ball and that its isometry group is isomorphic to the dihedral group of order 2N. 1