Radii of Convergence and Index for p-Adic Differential Operators

DOI10.2307/2154061zbMath0762.12005OpenAlexW4246442253MaRDI QIDQ4015889

Paul Thomas Young

Publication date: 7 December 1992

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2154061

zbMATH Keywords

factorization theoremanalytic elementsHensel lemma for differential operatorshomogeneous linear differential operatorsradii of \(p\)-adic convergenceRobba's conjecturesolutions at generic point

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) (p)-adic differential equations (12H25)

Related Items (10)

An algorithm computing non-solvable spectral radii of \(p\)-adic differential equations ⋮ Local indices of \(p\)-adic differential operators corresponding to Artin-Schreier-Witt coverings ⋮ Continuity of the radius of convergence of differential equations on \(p\)-adic analytic curves ⋮ Spectrum of \(p\)-adic linear differential equations. I: The shape of the spectrum ⋮ Coherence of certain overconvergent isocrystals without Frobenius structures on curves ⋮ The convergence Newton polygon of a \(p\)-adic differential equation. I: Affinoid domains of the Berkovich affine line ⋮ A note on non-Robba \(p\)-adic differential equations ⋮ Convergence Polygons for Connections on Nonarchimedean Curves ⋮ Differential modules onp-adic polyannuli ⋮ Non-solvable differential modules. Radii of convergence and indexes

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