BETA-EXPANSIONS OF PISOT AND SALEM NUMBERS

摘要

This paper is based on a talk given at WWCA (Waterloo Workshop on Computer Algebra) held at Wilfird Laurier University, Aprik2006, This paper gives a history of beta-expansions, and surveys some of the computational aspects of beta-expansions. Special attention is given to how these beta-expansions relate to Pisot and Salem numbers. This paper also gives an overview of the computational issues that arose in the recent investigation of Allouche, Frougny and Hare,2 upon which the talk at WWCA was based.