Corpus ID: 119679236

Pisot Numbers and Primes

@article{Vieru2012PisotNA,
  title={Pisot Numbers and Primes},
  author={Andrei Vieru},
  journal={arXiv: Number Theory},
  year={2012}
}
  • Andrei Vieru
  • Published 2012
  • Mathematics
  • arXiv: Number Theory
  • We define and study a transform whose iterates bring to the fore interesting relations between Pisot numbers and primes. Although the relations we describe are general, they take a particular form in the Pisot limit points. We give three elegant formulae, which permit to locate on the whole semi-line all limit points that are not integer powers of other Pisot numbers. 

    References

    Publications referenced by this paper.

    On univoque Pisot numbers