location:  Publications → journals
Search results

Search: MSC category 54H10 ( Topological representations of algebraic systems [See also 22-XX] )

 Expand all        Collapse all Results 1 - 1 of 1

1. CJM 2008 (vol 60 pp. 1149)

Petersen, Kathleen L.; Sinclair, Christopher D.
 Conjugate Reciprocal Polynomials with All Roots on the Unit Circle 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 $\R^{N-1}$. 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 $2N$. Categories:11C08, 28A75, 15A52, 54H10, 58D19
 top of page | contact us | privacy | site map |