Arithmetic Euler top

作者:Buium Alexandru*; Previato Emma
来源:Journal of Number Theory, 2017, 173: 37-63.
DOI:10.1016/j.jnt.2016.09.024

摘要

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, Painleve, 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.

  • 出版日期2017-4