Newsgroups: sci.math From: mapjaa@bath.ac.uk (J A Abbott) Subject: Re: Polynomials with roots of norm one (partial answer) Date: Fri, 1 Dec 1995 10:40:30 GMT Dave Rusin wrote: > There is a method of estimating the roots of a polynomial which is based on > successive squaring of the roots until the ones of smaller magnitude > become insignificant. (If I remember correctly, this is the one attributed > to a Frenchman known only as "M. Vincent".) I too have known of this only as Graeffe's method. The name M. Vincent rings no bells. Russell Bradford (rjb@maths.bath.ac.uk) wrote a short paper on how to test if a polynomial with integer coefficients is a product of cyclotomic polynomials [I think the polynomial was assumed to be square-free]. This may be of use to the initiator of this thread. John.