A Dirichlet unit theorem for Drinfeld modules

DOI10.1007/s00208-010-0506-6zbMath1217.11062arXiv0910.3142OpenAlexW2088937365MaRDI QIDQ711575

Lenny Taelman

Publication date: 27 October 2010

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.3142

zbMATH Keywords

Drinfeld moduleDirichlet unit theorem

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Related Items (18)

Twisted characteristic \(p\) zeta functions ⋮ A class formula for admissible Anderson modules ⋮ On equivariant class formulas for Anderson modules ⋮ The Carlitz shtuka ⋮ Multizeta in function field arithmetic ⋮ Special functions and twisted L-series ⋮ Multizeta values for function fields: A survey ⋮ Explicit formulae for \(L\)-values in positive characteristic ⋮ The de Rham isomorphism for Drinfeld modules over Tate algebras ⋮ Arithmetic of Gamma, Zeta and Multizeta Values for Function Fields ⋮ Zeta-like multizeta values for higher genus curves ⋮ Recent developments in the theory of Anderson modules ⋮ Arithmetic of function field units ⋮ Arithmetic of positive characteristic -series values in Tate algebras ⋮ Special \(L\)-values of Drinfeld modules ⋮ On special \(L\)-values of \(t\)-modules ⋮ Arithmetic of characteristic p special L-values ⋮ On identities for zeta values in Tate algebras

Cites Work

• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• Special values of \(L\)-functions in characteristic \(p\)
• Log-algebraicity of twisted \(A\)-harmonic series and special values of \(L\)-series in characteristic \(p\)
• Special L-Values of t-Motives: A Conjecture
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