Special values of \(L\)-functions in characteristic \(p\)

DOI10.1016/j.jnt.2009.04.002zbMath1194.11089OpenAlexW2085285995MaRDI QIDQ838463

Vincent Lafforgue

Publication date: 26 August 2009

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.04.002

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (17)

Tannakian properties of unit Frobenius-modules ⋮ Twisted characteristic \(p\) zeta functions ⋮ Resultantal varieties related to zeroes of \(L\)-functions of Carlitz modules ⋮ A class formula for admissible Anderson modules ⋮ \(L\)-functions of Carlitz modules, resultantal varieties and rooted binary trees. I ⋮ Some cases of a conjecture on L-functions of twisted Carlitz modules ⋮ The Carlitz shtuka ⋮ Multizeta in function field arithmetic ⋮ Multizeta values for function fields: A survey ⋮ Special \(L\)-values of abelian \(t\)-modules ⋮ Cohomological Theory of Crystals over Function Fields and Applications ⋮ Arithmetic of Gamma, Zeta and Multizeta Values for Function Fields ⋮ Recent developments in the theory of Anderson modules ⋮ A Dirichlet unit theorem for Drinfeld modules ⋮ Equivariant special \(L\)-values of abelian \(t\)-modules ⋮ Special \(L\)-values of Drinfeld modules ⋮ On special \(L\)-values of \(t\)-modules

Cites Work

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• Tensor powers of the Carlitz module and zeta values
• \(t\)-motives
• Cohomologie étale. Seminaire de géométrie algébrique du Bois-Marie SGA 4 1/2 par P. Deligne, avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier
• Global \(L\)-functions over function fields
• A Weil-Barsotti formula for Drinfeld modules.
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• Log-algebraicity of twisted \(A\)-harmonic series and special values of \(L\)-series in characteristic \(p\)
• An elementary approach to \(L\)-functions \(\text{mod }p\)
• The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div".
• 𝐿-functions of 𝜑-sheaves and Drinfeld modules
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