On a class of polynomials related to Barker sequences
On a class of polynomials related to Barker sequences
For an odd integer $n > 0$, we introduce the class $\mathcal {L}P_n$ of Laurent polynomials \[ P(z) = (n+1) + \sum _{\substack {k = 1 \\ k \text { odd}}}^{n}c_k (z^k+z^{-k}), \] with all coefficients $c_k$ equal to $-1$ or $1$. Such polynomials arise in the study of Barker …