On special \(L\)-values of \(t\)-modules

DOI10.1016/J.AIM.2020.107313zbMath1458.11095OpenAlexW2899513353MaRDI QIDQ783225

Floric Tavares Ribeiro, Bruno Anglès, Ngo Dac Tuan

Publication date: 11 August 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2020.107313

zbMATH Keywords

Drinfeld modules\(L\)-series in characteristic \(p\)Anderson \(t\)-modulesclass formulalog-algebraicity

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 (8)

Zeta-like multiple zeta values in positive characteristic ⋮ A class formula for admissible Anderson modules ⋮ On the Stark units of Drinfeld modules ⋮ Algebraic relations among Goss’s zeta values on elliptic curves ⋮ On equivariant class formulas for Anderson modules ⋮ Universal families of Eulerian multiple zeta values in positive characteristic ⋮ Deformation of multiple zeta values and their logarithmic interpretation in positive characteristic ⋮ Special values of Goss \(L\)-series attached to Drinfeld modules of rank 2

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
• Tensor powers of the Carlitz module and zeta values
• Special \(L\)-values of Drinfeld modules
• Transcendence and special zeta values in characteristic p
• Special values of \(L\)-functions in characteristic \(p\)
• Gauss sums for \({\mathbb F}_ q[T\)]
• \(t\)-motives
• An addendum to ``\(v\)-adic zeta functions, \(L\)-series, and measures for function fields
• Rank one elliptic \(A\)-modules and \(A\)-harmonic series
• Log-algebraicity of twisted \(A\)-harmonic series and special values of \(L\)-series in characteristic \(p\)
• A rapid introduction to Drinfeld modules, \(t\)-modules, and \(t\)-motives
• Pink's theory of Hodge structures and the Hodge conjecture over function fields
• On certain functions connected with polynomials in a Galois field
• Certain quantities transcendental over \(\text{GF}(p^n,x)\)
• Arithmetic of positive characteristic -series values in Tate algebras
• Special L-Values of t-Motives: A Conjecture
• ELLIPTIC MODULES
• ELLIPTIC MODULES. II
• Anderson-Stark units for 𝔽_{𝕢}[𝜃]
• Log‐algebraic identities on Drinfeld modules and special L‐values
• Arithmetic of characteristic p special L-values
• Stark units in positive characteristic

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