A note on the arithmetic of differential equations

DOI10.1016/S0019-3577(00)80030-0zbMath1006.12005MaRDI QIDQ5951552

José Felipe Voloch

Publication date: 9 March 2003

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

Galois grouplinear second-order homogeneous differential equations

Mathematics Subject Classification ID

Abstract differential equations (12H20)

Related Items

A note on \(p\)-curvatures

Cites Work

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• On the calculation of some differential Galois groups
• Monodromy for the hypergeometric function \(_ nF_{n-1}\)
• Algebraic solutions of differential equations (p-curvature and the Hodge filtration)
• On the nilpotence of the hypergeometric equation
• Reduction modulo \(p\) of differential equations
• Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
• Corrections to : “A conjecture in the arithmetic theory of differential equations”
• Differential Operators with Nilpotent p-Curvature