On Equivariant Dedekind Zeta-Functions at $s=1$
We study a refinement of an explicit conjecture of Tate concerning the values at $s=1$ of Artin $L$-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.
2010 Mathematics Subject Classification: 11R42, 11R33
Keywords and Phrases: Artin $L$-functions, equivariant zeta functions, leading terms
Full text: dvi.gz 59 k, dvi 158 k, ps.gz 951 k, pdf 294 k.
Home Page of DOCUMENTA MATHEMATICA