On the spectra of Pisot-cyclotomic numbers

Kevin G. Hare, Zuzana Masáková, Tomáš Vávra

We investigate the complex spectra \[ X^{\mathcal A}(β)=\left\{\sum_{j=0}^na_jβ^j : n\in{\mathbb N},\ a_j\in{\mathcal A}\right\} \] where $\beta$ is a quadratic or cubic Pisot-cyclotom…