Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897165 | Journal of Number Theory | 2017 | 27 Pages |
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, Painlevé, etc.) were previously shown to possess arithmetic analogues. The paper introduces and studies an arithmetic analogue of the Euler differential equations for the rigid body.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Alexandru Buium, Emma Previato,