On the number of roots of self-inversive polynomials on the complex unit circle

Abstract

We present a sufficient condition for a self-inversive polynomial to have a fixed number of roots on the complex unit circle. We also prove that these roots are simple when that condition is satisfied. This generalizes the condition found by Lakatos and Losonczi for all the roots of a self-inversive polynomial to lie on the complex unit circle.

5 pages

References in corpus (2)

• Survey article: Seventy years of Salem numbers
• Where are the roots of the Bethe Ansatz equations?

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