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
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.