Research output: Contribution to journal › Article

Journal | L’Enseignement Mathématique |
---|---|

Date | Accepted/In press - 24 Jun 2016 |

Number of pages | 7 |

Original language | English |

Hurwitz (1887) defined a continued fraction algorithm for complex numbers which is better behaved in many respects than a more "natural" extension of the classical continued fraction algorithm to the complex plane would be. Although the Hurwitz complex continued fraction algorithm is not "reducible" to another complex continued fraction algorithm, over the reals the story is different. In this note we make clear the relation between the restriction of Hurwitz's algorithm to the real numbers and the classical continued fraction algorithm. As an application we reprove the main result of Choudhuri and Dani (2015).

- math.NT

## Programme Grant-New Frameworks in metric Number Theory

Project: Research project (funded) › Research

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