The highest slope of log-growth Newton polygon of \(p\)-adic differential equations

DOI10.1016/j.bulsci.2021.102980zbMath1478.12006OpenAlexW3146289930WikidataQ115359943 ScholiaQ115359943MaRDI QIDQ2028056

Takahiro Nakagawa

Publication date: 31 May 2021

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2021.102980

zbMATH Keywords

logarithmic growth\(p\)-adic analysis\(p\)-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
• \(p\)-adic cycles
• An Introduction to "G"-Functions. (AM-133)
• Logarithmic growth and Frobenius filtrations for solutions ofp-adic differential equations
• A Note on Logarithmic Growth Newton Polygons of p-Adic Differential Equations
• Dwork’s conjecture on the logarithmic growth of solutions of p-adic differential equations

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