We give a geometric proof of classical results that characterize Pisot numbers as algebraic $\lambda>1$ for which there is $x\neq0$ with $\lambda^nx \to 0 \mod$ and identify such $x$ as members of $\Z[\lambda^{-1}] \cdot \Z[\lambda]^*$ where $\Z[\lambda]^*$ is the dual module of $\Z[\lambda]$.

MSC Classifications:

11R06 show english descriptions PV-numbers and generalizations; other special algebraic numbers; Mahler measure 11R06 - PV-numbers and generalizations; other special algebraic numbers; Mahler measure

top of page | contact us | social media | privacy | site map