Equivariant special L-values of abelian t-modules

Abstract

We prove a formula of the equivariant infinity-adic special L-values of abelian t-modules. This gives function field analogues of the equivariant class number formula. As an application, we calculate the special values of Artin L-functions for Galois representations.

36 pages

Cited by in corpus (2)

• Log-algebraic identities on Drinfeld modules and special L-values
• Special functions and twisted $L$-series