\(\pi\)-exponentials for generalized twisted ramified Witt vectors

DOI10.4171/RSMUP/35zbMath1444.11111OpenAlexW2950994431MaRDI QIDQ2177985

Shigeki Matsuda

Publication date: 7 May 2020

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rsmup/35

zbMATH Keywords

Carlitz moduleoverconvergenceformal group\(\pi\)-exponentialtwisted ramified Witt ring

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) (p)-adic theory, local fields (11F85) Witt vectors and related rings (13F35)

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
• Canonical extensions, irregularities and the Swan conductor
• On \(\pi\)-exponentials. I: Witt vectors that vanish under Frobenius and algorithm of (their) radius of convergence
• Trace formula for rings of Witt vectors
• Formal complex multiplication in local fields
• Convergence Polygons for Connections on Nonarchimedean Curves
• DWORK–CARLITZ EXPONENTIAL AND OVERCONVERGENCE FOR ADDITIVE FUNCTIONS IN POSITIVE CHARACTERISTIC
• Arithmetic and differential Swan conductors of rank one representations with finite local monodromy
• Twisted Lubin-Tate Formal Group Laws, Ramified Witt Vectors and (Ramified) Artin-Hasse Exponentials
• Formal Group Exponentials and Galois Modules in Lubin–Tate Extensions
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