English

On the structure of ($-\beta$)-integers

Number Theory 2012-03-23 v2 Discrete Mathematics

Abstract

The (β)(-\beta)-integers are natural generalisations of the β\beta-integers, and thus of the integers, for negative real bases. When β\beta is the analogue of a Parry number, we describe the structure of the set of (β)(-\beta)-integers by a fixed point of an anti-morphism.

Keywords

Cite

@article{arxiv.1011.1755,
  title  = {On the structure of ($-\beta$)-integers},
  author = {Wolfgang Steiner},
  journal= {arXiv preprint arXiv:1011.1755},
  year   = {2012}
}
R2 v1 2026-06-21T16:40:26.140Z