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PISOT NUMBERS AND GREEDY ALGORITHM Shigeki Akiyama
 

Summary: 



PISOT NUMBERS AND GREEDY ALGORITHM



Shigeki Akiyama

Niigata University


Abstract. We study the greedy expansion of real numbers in Pisot number b*
*ase.
We will show a certain criterions of finiteness, periodicity, and purely *
*periodicity.
Further, it is proved that every sufficiently small positive rational num*
*bers has purely
periodic greedy expansion in Pisot unit base under a certain finiteness c*

  

Source: Akiyama, Shigeki - Department of Mathematics, Niigata University

 

Collections: Mathematics