Conjugate Reciprocal Polynomials with all Roots on the Unit Circle

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dc.creatorPetersen, Kathleen L.
dc.creatorSinclair, Christopher D.
dc.date2005-11-15
dc.date.accessioned2026-07-07T06:51:19Z
dc.date.available2026-07-07T06:51:19Z
dc.descriptionWe 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 $\R^{N-1}$. We calculate the volume of this set, prove the set is homeomorphic to the $N-1$ ball and that its isometry group is isomorphic to the dihedral group of order $2N$.
dc.description18 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0511397
dc.identifierhttp://arxiv.org/abs/math/0511397
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104943
dc.subjectNumber Theory
dc.subjectGeneral Topology
dc.subject11C08, 11C20, 15A52, 51M25, 57N25
dc.titleConjugate Reciprocal Polynomials with all Roots on the Unit Circle
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