The logarithmic growth of an element of the Robba ring which satisfies a Frobenius equation

DOI10.2748/tmj/1372182721zbMath1297.12001OpenAlexW1994339354MaRDI QIDQ372602

Takahiro Nakagawa

Publication date: 9 October 2013

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmj/1372182721

zbMATH Keywords

logarithmic growthp-adic differential equationsRobba ring

Mathematics Subject Classification ID

(p)-adic differential equations (12H25)

Related Items (2)

Jacobi sum, differential equation modulo prime and logarithmic growth ⋮ On the rationality and continuity of logarithmic growth filtration of solutions of \(p\)-adic differential equations

Cites Work

• Log-growth filtration and Frobenius slope filtration of \(F\)-isocrystals at the generic and special points
• On p-adic differential equations. II: The p-adic asymptotic behavior of solutions of ordinary linear differential equations with rational function coefficients
• On the index of \(p\)-adic differential operators. I
• Slope filtration of quasi-unipotent overconvergent \(F\)-isocrystals
• Local indices of \(p\)-adic differential operators corresponding to Artin-Schreier-Witt coverings
• URS AND URSIMS FOR P-ADIC MEROMORPHIC FUNCTIONS INSIDE A DISC
• Logarithmic growth and Frobenius filtrations for solutions ofp-adic differential equations
• Dwork’s conjecture on the logarithmic growth of solutions of p-adic differential equations
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