Logarithmic decay and overconvergence of the unit root and associated zeta functions

DOI10.24033/asens.1637zbMath0765.14011OpenAlexW185331680MaRDI QIDQ3988725

Steven I. Sperber, Bernard M. Dwork

Publication date: 28 June 1992

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1991_4_24_5_575_0

zbMATH Keywords

finite ground fieldlogarithmic decayoverconvergent cohomology theoryunit root \(L\)-functionsunit zeta function

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Local ground fields in algebraic geometry (14G20) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items (6)

The monodromy of unit-root F-isocrystals with geometric origin ⋮ Meromorphy of the rank one unit root \(L\)-function revisited ⋮ 𝐿-functions of 𝜑-sheaves and Drinfeld modules ⋮ Noetherian Subrings of Power Series Rings ⋮ Factorial and Noetherian subrings of power series rings ⋮ Noetherian property of subrings of power series rings. II.

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• Normalized period matrices. I: Plane curves
• Normalized period matrices. II
• Effective p-Adic Bounds for Solutions of Homogeneous Linear Differential Equations
• A p-adic Fixed Point Formula

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