Pisot numbers and greedy algorithm
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We study the greedy expansion of real numbers in Pisot number base. We will show a certain criterions of finiteness, periodicity, and purely periodicity. Further, it is proved that every sufficiently small positive rational numbers has purely periodic greedy expansion in Pisot unit base under a certain finiteness condition.
[1] Boris Solomyak,et al. Finite beta-expansions , 1992, Ergodic Theory and Dynamical Systems.
[2] K. Schmidt,et al. On Periodic Expansions of Pisot Numbers and Salem Numbers , 1980 .
[3] M. Hama,et al. Periodic β-expansions for Certain Classes of Pisot Numbers , 1997 .
[4] Nick Lord,et al. Pisot and Salem Numbers , 1991 .
[5] David W. Boyd. Salem numbers of degree four have periodic expansions , 1989 .