On equivariant Dedekind Zeta-Functions at s=1s=1

  • David Burns

  • Manuel Breuning

Abstract

We study a refinement of an explicit conjecture of Tate concerning the values at s=1s=1 of Artin LL-functions. We reinterpret this refinement in terms of Tamagawa number conjectures and then use this connection to obtain some important (and unconditional) evidence for our conjecture.