On log-growth of solutions of \(p\)-adic differential equations at a logarithmic singular point

DOI10.3836/tjm/1502179336zbMath1495.12002OpenAlexW3111528268WikidataQ115219753 ScholiaQ115219753MaRDI QIDQ831877

Takahiro Nakagawa

Publication date: 24 March 2022

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1502179336

zbMATH Keywords

logarithmic growth\(p\)-adic differential equations

Mathematics Subject Classification ID

(p)-adic differential equations (12H25)

Cites Work

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• On the rationality and continuity of logarithmic growth filtration of solutions of \(p\)-adic differential equations
• 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 p-adic differential equations. III: On p-adically bounded solutions of ordinary linear differential equations with rational function coefficients
• On the index of \(p\)-adic differential operators. I
• Effective \(p\)-adic bounds at regular singular points
• \(p\)-adic cycles
• Growth of Solutions of Linear Differential Equations at a Logarithmic Singularity
• An Introduction to "G"-Functions. (AM-133)
• 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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