CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

A Dynamical Proof of Pisot's Theorem

  Published:2006-03-01
 Printed: Mar 2006
  • Jaroslaw Kwapisz
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

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
 

© Canadian Mathematical Society, 2014 : https://cms.math.ca/