Abstract
We characterize numbers having finite β-expansions where β belongs to a certain class of Pisot numbers: when the β-expansion of 1 is equal to a1a2…am, where a1≥a2≥…≥am≥1 and when the β-expansion of 1 is equal to t1t2…tm(tm+1)ω where t1≥t2≥…≥tm>tm+1≥1.
| Original language | English |
|---|---|
| Pages (from-to) | 713-723 |
| Number of pages | 11 |
| Journal | Ergodic Theory and Dynamical Systems |
| Volume | 12 |
| Issue number | 4 |
| DOIs | |
| State | Published - Dec 1992 |
| Externally published | Yes |