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arXiv · 1606.02180

Arithmetic Euler Top

Alexandru Buium·Emma Previato
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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.

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Alexandru Buium, Emma Previato. 2016-06-07. Arithmetic Euler Top. https://arxiv.org/abs/1606.02180

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