Lagrange's Theorem for continued fractions on the Heisenberg group
Number Theory
2014-09-02 v1
Abstract
We prove an analog of Lagrange's Theorem for continued fractions on the Heisenberg group: points with an eventually periodic continued fraction expansion are those that satisfy a particular type of quadratic form, and vice-versa.
Keywords
Cite
@article{arxiv.1409.0509,
title = {Lagrange's Theorem for continued fractions on the Heisenberg group},
author = {Joseph Vandehey},
journal= {arXiv preprint arXiv:1409.0509},
year = {2014}
}