BETA-EXPANSIONS OF PISOT AND SALEM NUMBERS

This paper is based on a talk given at WWCA (Waterloo Workshop on Computer Algebra) held at Wilfird Laurier University, April 2006. 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.

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