Arithmetic of characteristic p special L-values

DOI10.1112/plms/pdu067zbMath1328.11065arXiv1205.2794OpenAlexW3100921683MaRDI QIDQ5248615

Bruno Anglès, Lenny Taelman, Vincent Bosser

Publication date: 8 May 2015

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.2794

zbMATH Keywords

Carlitz modulecyclotomic function fieldsDrinfeld modulescyclotomic units\(p\)-adic \(L\)-functions

Mathematics Subject Classification ID

Cyclotomic function fields (class groups, Bernoulli objects, etc.) (11R60) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items

Twisted characteristic \(p\) zeta functions ⋮ On the Stark units of Drinfeld modules ⋮ A class formula for \(L\)-series in positive characteristic ⋮ On equivariant class formulas for Anderson modules ⋮ Functional identities for \(L\)-series values in positive characteristic ⋮ Aspects of Iwasawa theory over function fields ⋮ Special functions and twisted L-series ⋮ Stickelberger series and main conjecture for function fields ⋮ Recent developments in the theory of Anderson modules ⋮ Arithmetic of function field units ⋮ Arithmetic of positive characteristic -series values in Tate algebras ⋮ Iwasawa main conjecture for the Carlitz cyclotomic extension and applications ⋮ Equivariant special \(L\)-values of abelian \(t\)-modules ⋮ Taelman \(L\)-values for Drinfeld modules over Tate algebras ⋮ On special \(L\)-values of \(t\)-modules ⋮ An equivariant Tamagawa number formula for Drinfeld modules and applications

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