A class formula for admissible Anderson modules

DOI10.1007/s00222-022-01110-3zbMath1501.11063OpenAlexW4220824199MaRDI QIDQ2152483

Floric Tavares Ribeiro, Ngo Dac Tuan, Bruno Anglès

Publication date: 8 July 2022

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00222-022-01110-3

zbMATH Keywords

Drinfeld modules\(L\)-series in characteristic \(p\)class formulaAnderson modules

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (3)

Algebraic relations among Goss’s zeta values on elliptic curves ⋮ On equivariant class formulas for Anderson modules ⋮ An equivariant Tamagawa number formula for Drinfeld modules and applications

Cites Work

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• Special \(L\)-values of abelian \(t\)-modules
• Arithmetic of function field units
• A Dirichlet unit theorem for Drinfeld modules
• Cohomological theory of crystals over function fields
• Special \(L\)-values of Drinfeld modules
• On special \(L\)-values of \(t\)-modules
• Class fields of abelian extensions of \(\mathbb Q\)
• Special values of \(L\)-functions in characteristic \(p\)
• \(t\)-motives
• Rank one elliptic \(A\)-modules and \(A\)-harmonic series
• Log-algebraicity of twisted \(A\)-harmonic series and special values of \(L\)-series in characteristic \(p\)
• Values of certain \(L\)-series in positive characteristic
• Recent developments in the theory of Anderson modules
• \(t\)-motives: Hodge structures, transcendence and other motivic aspects
• Pink's theory of Hodge structures and the Hodge conjecture over function fields
• On certain functions connected with polynomials in a Galois field
• Arithmetic of positive characteristic -series values in Tate algebras
• Special L-Values of t-Motives: A Conjecture
• Sheaves and Functions Modulo <I>p</I>
• Anderson-Stark units for 𝔽_{𝕢}[𝜃]
• Stark units in positive characteristic

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