Spectrum of \(p\)-adic linear differential equations. I: The shape of the spectrum

DOI10.1007/s00029-023-00904-4arXiv2111.03548OpenAlexW4390732389MaRDI QIDQ6120762

Tinhinane A. Azzouz

Publication date: 21 February 2024

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.03548

zbMATH Keywords

spectral theoryradius of convergenceBerkovich spaces\(p\)-adic differential equations

Mathematics Subject Classification ID

Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Rigid analytic geometry (14G22) (p)-adic differential equations (12H25)

Cites Work

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• The convergence Newton polygon of a \(p\)-adic differential equation. I: Affinoid domains of the Berkovich affine line
• The convergence Newton polygon of a \(p\)-adic differential equation. II: Continuity and finiteness on Berkovich curves
• 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
• Étale cohomology for non-Archimedean analytic spaces
• Modules différentiels sur les couronnes (Differential modules over annuli)
• Spectrum of a linear differential equation with constant coefficients
• Spectrum of a linear differential equation over a field of formal power series
• Radii of Convergence and Index for p-Adic Differential Operators

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