Arithmetic Euler top
Copyright policy )Arithmetic Euler top
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��, etc.) were previously shown to possess arithmetic analogues. The paper introduces an arithmetic analogue of the Euler differential equations for the rigid body.
- Boston College United States
- University of New Mexico United States
Mathematics - Algebraic Geometry, Euler top, Arithmetic ground fields for abelian varieties, elliptic curves, FOS: Mathematics, Relationships between algebraic curves and integrable systems, Frobenius lifts, Algebraic Geometry (math.AG)
Mathematics - Algebraic Geometry, Euler top, Arithmetic ground fields for abelian varieties, elliptic curves, FOS: Mathematics, Relationships between algebraic curves and integrable systems, Frobenius lifts, Algebraic Geometry (math.AG)
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