Conway river and Arnold sail
Number Theory
2018-07-05 v2
Abstract
We establish a simple relation between two geometric constructions in number theory: the Conway river of a real indefinite binary quadratic form and the Arnold sail of the corresponding pair of lines.
Cite
@article{arxiv.1801.10072,
title = {Conway river and Arnold sail},
author = {K. Spalding and A. P. Veselov},
journal= {arXiv preprint arXiv:1801.10072},
year = {2018}
}
Comments
Slightly modified version to appear in Arnold Mathematical Journal