Description of spectra of quadratic Pisot units

Zuzana Masáková, Kateřina Pastirčáková, Edita Pelantová

The spectrum of a real number $\beta >1$ is the set $X^m(\beta )$ of $p(\beta )$ where $p$ ranges over all polynomials with coefficients restricted to $\mathcal{A}=\{0,1,\dots ,m\}$. For a quad…