Comptes Rendus Mathématiques
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...
Konvalina, John and Matache, Valentin, "Palindrome-Polynomials with Roots on the Unit Circle" (2004). Mathematics Faculty Publications. 44.