Effective \(p\)-adic bounds at regular singular points

DOI10.1215/S0012-7094-91-06230-7zbMath0762.12004MaRDI QIDQ1814236

Bernard M. Dwork, Gilles Christol

Publication date: 25 June 1992

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

\(G\)-functionspower series solutions\(p\)-adic differential equationsunipotent monodromyChristol's transfer theoremFrobenius transformglobally nilpotent linear differential systemisolated regular singular point

Mathematics Subject Classification ID

(p)-adic differential equations (12H25)

Related Items (11)

On log-growth of solutions of \(p\)-adic differential equations at a logarithmic singular point ⋮ On the index theorem for \(p\)-adic differential equations. I ⋮ Modules différentiels sur les couronnes (Differential modules over annuli) ⋮ The Eisenstein constant ⋮ ON THE DENOMINATORS OF THE TAYLOR COEFFICIENTS OF <i>G</i>-FUNCTIONS ⋮ Unnamed Item ⋮ Generic radius of convergence of differential equations with polynomial coefficients over a number field ⋮ Convergence Polygons for Connections on Nonarchimedean Curves ⋮ Descent of isocrystals and \({\mathcal D}^\dag\)-modules ⋮ A Recursive Method for Computing Zeta Functions of Varieties ⋮ Formal and \(p\)-adic theory of differential systems with logarithmic singularities depending upon parameters

Cites Work

• On the p-adic analyticity of solutions of linear differential equations
• Effective p-Adic Bounds for Solutions of Homogeneous Linear Differential Equations
• Systèmes différentiels linéaires $p$-adiques, structure de Frobenius faible
• Growth of Solutions of Linear Differential Equations at a Logarithmic Singularity
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