On Natural Radii of p-Adic Convergence

DOI10.2307/1998108zbMath0426.12013OpenAlexW4250257820MaRDI QIDQ3861513

Philippe Robba, Bernard M. Dwork

Publication date: 1979

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

Full work available at URL: https://doi.org/10.2307/1998108

zbMATH Keywords

power seriesp-adic theory of differential equationsradius of p-adic convergence

Mathematics Subject Classification ID

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

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Quantitative Chevalley-Weil theorem for curves ⋮ On the reduction modulo \(p\) of an absolutely irreducible polynomial \(f(x,y)\) ⋮ A simplified proof for a theorem of Dwork and van der Poorten ⋮ The local dimension of a finite group over a number field ⋮ Radius of convergence of \(p\)-adic connections and the \(p\)-adic Rolle theorem ⋮ On some notions of good reduction for endomorphisms of the projective line ⋮ Differential modules and singular points of p-adic differential equations ⋮ Good reduction of Puiseux series and applications ⋮ Retracted article: Radius of convergence of \(p\)-adic connections and the Berkovich ramification locus ⋮ On the Eisenstein constant ⋮ Newton polytopes and algebraic hypergeometric series ⋮ The Eisenstein constant ⋮ On the Malle conjecture and the self-twisted cover ⋮ Good reduction of certain covers \(\mathbb{P}^1\to\mathbb{P}^1\) ⋮ Differential equations on an algebraic function field ⋮ Convergence Polygons for Connections on Nonarchimedean Curves ⋮ The Skolem-Abouzaïd theorem in the singular case

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