Polynomials with all their roots on $S^1$

Abstract

We give a characterization of monic polynomials with coefficients in the ring of integers of a Galois number field having all of their roots on the unit circle. Such a characterization is given in terms of finitely many sum of powers of the roots of the considered polynomials.


Published: Lithuanian Mathematical Journal. Vol. 49, Nro 3, (2009), 331-336.

Link: http://www.springer.com/math/journal/10986