Diophantine integrability

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 di...

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Bibliographic Details
Main Author: R.G. Halburd
Format: Default Preprint
Published: 2005
Subjects:
Online Access:https://hdl.handle.net/2134/392
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