Reduction modulo \(p\) of differential equations

DOI10.1016/0019-3577(96)83726-8zbMath0865.12007OpenAlexW2020741781MaRDI QIDQ2365503

Marius van der Put

Publication date: 18 June 1997

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

Full work available at URL: https://doi.org/10.1016/0019-3577(96)83726-8

zbMATH Keywords

differential Galois theoryGrothendieck's conjecturehigher order differential equationsinhomogeneous equationsfirst order differential equationsKatz conjecturereduction modulosecond order homogeneous equation

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Abstract differential equations (12H20) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items (7)

A modular algorithm for computing the exponential solutions of a linear differential operator ⋮ On the solutions of holonomic third-order linear irreducible differential equations in terms of hypergeometric functions ⋮ Riccati differential equation for hypergeometric differential equation ⋮ Irreducibility criteria for skew polynomials. ⋮ Grothendieck's conjecture for the Risch equation \(y'=ay+b\) ⋮ On globally nilpotent differential equations ⋮ A note on the arithmetic of differential equations

Cites Work

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• An algorithm for solving second order linear homogeneous differential equations
• On the calculation of some differential Galois groups
• Gewöhnliche Differentialgleichungen in Körpern von Primzahlcharakteristik
• Über die Riccatische Differentialgleichung in Körpern der Charakteristik \(p\)
• On Second Order Linear Differential Equations with Algebraic Solutions
• A conjecture in the arithmetic theory of differential equations

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