English

Metric properties of N-continued fractions

Number Theory 2015-10-08 v1

Abstract

A generalization of the regular continued fractions was given by Burger et al. in 2008 [3]. In this paper we give metric properties of this expansion. For the transformation which generates this expansion, its invariant measure and Perron-Frobenius operator are investigated.

Keywords

Cite

@article{arxiv.1510.02052,
  title  = {Metric properties of N-continued fractions},
  author = {Dan Lascu},
  journal= {arXiv preprint arXiv:1510.02052},
  year   = {2015}
}

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20 pages