Conway river and Arnold sail

Spalding, Kathryn; Veselov, Alexander

10.1007_s40598-018-0087-0.pdf (738.6 kB)

Conway river and Arnold sail

journal contribution

posted on 2018-07-13, 13:59 authored by Kathryn Spalding, Alexander VeselovAlexander Veselov

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.

Funding

The work of K.S. was supported by the EPSRC as part of PhD study at Loughborough

History

School

Science

Department

Mathematical Sciences

Published in

Arnold Mathematical Journal

Pages

1 - 9 (9)

Citation

SPALDING, K. and VESELOV, A.P., 2018. Conway river and Arnold sail. Arnold Mathematical Journal, 4 (2), pp.169–177

Publisher

Springer (© The Authors)

Version

VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution 4.0 International (CC BY 4.0) licence. Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/

Acceptance date

2018-07-04

Publication date

2018

Notes

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.