Arithmetic Euler Top
Algebraic Geometry
2016-06-08 v1
Abstract
The theory of differential equations has an arithmetic analogue in which derivatives of functions are replaced by Fermat quotients of numbers. Many classical differential equations (Riccati, Weierstrass, Painlev\'{e}, etc.) were previously shown to possess arithmetic analogues. The paper introduces an arithmetic analogue of the Euler differential equations for the rigid body.
Keywords
Cite
@article{arxiv.1606.02180,
title = {Arithmetic Euler Top},
author = {Alexandru Buium and Emma Previato},
journal= {arXiv preprint arXiv:1606.02180},
year = {2016}
}