Single polynomials that correspond to pairs of cyclotomic polynomials with interlacing zeros
Single polynomials that correspond to pairs of cyclotomic polynomials with interlacing zeros
Abstract We give a complete classification of all pairs of cyclotomic polynomials whose zeros interlace on the unit circle, making explicit a result essentially contained in work of Beukers and Heckman. We show that each such pair corresponds to a single polynomial from a certain special class of integer polynomials, …