Arithmetic differential equations on $GL_n$, III: Galois groups

Alexandru Buium; Taylor Dupuy

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arXiv · 1308.0747

Arithmetic differential equations on $GL_n$, III: Galois groups

Alexandru Buium·Taylor Dupuy

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Abstract

Differential equations have arithmetic analogues in which derivatives are replaced by Fermat quotients; these analogues are called arithmetic differential equations and the present paper is concerned with the "linear" ones. The equations themselves were introduced in a previous paper. In the present paper we deal with the solutions of these equations as well as with the differential Galois groups attached to the solutions.

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Alexandru Buium, Taylor Dupuy. 2015-01-09. Arithmetic differential equations on $GL_n$, III: Galois groups. https://arxiv.org/abs/1308.0747

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