Published April 22, 2005
| Version v1
Journal article
Diophantine integrability
Creators
- 1. Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire, LE11 3TU(United Kingdom)
Description
The heights of iterates of the discrete Painleve equations over number fields appear to grow no faster than polynomials while the heights of generic solutions of non-integrable discrete equations grow exponentially. This gives rise to a simple and effective numerical test for the integrability of discrete equations. Numerical evidence and theoretical results are presented. Connections with other tests for integrability and Vojta's dictionary are discussed. (letter to the editor)
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/38/L263/a5_16_l01.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/38/L263/a5_16_l01.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/38/16/L01;
- PII
- S0305-4470(05)93154-5;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 38
- Journal Issue
- 16
- Journal Page Range
- p. L263-L269
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36096165
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DICTIONARIES; EQUATIONS; INTEGRAL CALCULUS; MATHEMATICAL SOLUTIONS; POLYNOMIALS
- Descriptors DEC
- DOCUMENT TYPES; FUNCTIONS; MATHEMATICS