Note on Clark’s theorem for 𝑝-adic convergence

DOI10.1090/S0002-9939-97-03983-XzbMath0872.12003MaRDI QIDQ4333003

Minoru Setoyanagi

Publication date: 19 February 1997

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

zbMATH Keywords

linear differential equationsexistence of analytic solutions\(p\)-adic convergence\(p\)-adically non-Liouville number

Mathematics Subject Classification ID

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

Related Items (4)

On the functional equation af \(Af^2 + Bg^2 = 1\) on the field of complex \(p\)-adic numbers ⋮ p-adically closed fields with nonstandard analytic structure ⋮ Differential equations for \({\mathbb F}_q\)-linear functions ⋮ A Recursive Method for Computing Zeta Functions of Varieties

Cites Work

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• [https://portal.mardi4nfdi.de/wiki/Publication:3029104 Liouvillian Solutions of the Differential Equation y � � + S(x)y = 0 with S(x) Binomial]
• A Note on the p-Adic Convergence of Solutions of Linear Differential Equations

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