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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

Full text
Author(s):
Vieira, R. S.
Total Authors: 1
Document type: Journal article
Source: RAMANUJAN JOURNAL; v. 42, n. 2, p. 363-369, FEB 2017.
Web of Science Citations: 2
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. (AU)

FAPESP's process: 12/02144-7 - Algebraic Bethe Ansatz and Applications
Grantee:Ricardo Soares Vieira
Support Opportunities: Scholarships in Brazil - Doctorate
FAPESP's process: 11/18729-1 - Gravitation and cosmology: structural questions and applications
Grantee:Elcio Abdalla
Support Opportunities: Research Projects - Thematic Grants