Palindrome-Polynomials with Roots on the Unit Circle

Authors

John Konvalina, University of Nebraska at OmahaFollow
Valentin Matache, University of Nebraska at OmahaFollow

Document Type

Article

Publication Date

2004

Publication Title

Comptes Rendus Mathématiques

Volume

26

Issue

2

First Page

39

Last Page

44

Abstract

Given a polynomial f(x) of degree n, let fr(x) denote its reciprocal, i.e., fr(x) = xnf(1=x). If a polynomial is equal to its reciprocal, we call it a palindrome since the coefficients are the same when read backwards or forwards. In this mathematical note we show that palindromes whose coefficients satisfy a certain magnitude-condition must have a root on the unit circle...

Comments

This article was reused with permission.

Copyright © 2004· The Royal Society of Canada | La Société royale du Canada.

https://mr.math.ca/

Recommended Citation

Konvalina, John and Matache, Valentin, "Palindrome-Polynomials with Roots on the Unit Circle" (2004). Mathematics Faculty Publications. 44.
https://digitalcommons.unomaha.edu/mathfacpub/44