Algebraic properties of a class of \(p\)-adic exponentials

DOI10.1016/j.crma.2006.12.001zbMath1155.11055OpenAlexW2053753174MaRDI QIDQ868970

Daniele Chinellato

Publication date: 26 February 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2006.12.001

zbMATH Keywords

\(p\)-adic differential equationArtin-Hasse exponential

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

On \(\pi\)-exponentials. II: Closed formula for the index

Cites Work

• Index of a first order \(p\)-adic differential operator. IV: The case of systems. Measures of irregularity in a ball
• Rank one solvable \(p\)-adic differential equations and finite Abelian characters via Lubin-Tate groups
• Local indices of \(p\)-adic differential operators corresponding to Artin-Schreier-Witt coverings
• An Introduction to "G"-Functions. (AM-133)
• Commutative formal groups
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