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Title: Diophantine integrability
Authors: Halburd, R.G.
Issue Date: 2005
Abstract: 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.
Description: This pre-print has been submitted and accepted to the journal, Journal of Physics A - Mathematical and General. The definitive version: HALBURD, R.G., 2005. Diophantine integrability. Journal of Physics A- Mathematical and General, 38(16), L263-269, is available at http://stacks.iop.org/.
URI: https://dspace.lboro.ac.uk/2134/392
Appears in Collections:Pre-prints (Maths)

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