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On univoque Pisot numbers |
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| Authors: | Jean-Paul Allouche Christiane Frougny Kevin G Hare |
| Institution: | CNRS, LRI, Bâtiment 490, Université Paris-Sud, 91405 Orsay Cedex, France ; LIAFA, CNRS UMR 7089, 2 place Jussieu, 75251 Paris Cedex 05, France, and Université Paris 8 ; Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 |
| Abstract: | We study Pisot numbers  which are univoque, i.e., such that there exists only one representation of  as  , with  . We prove in particular that there exists a smallest univoque Pisot number, which has degree  . Furthermore we give the smallest limit point of the set of univoque Pisot numbers. |
| Keywords: | Univoque Pisot number beta-expansion |
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