On the equivariant Tamagawa number conjecture for Tate motives, Part II.

Abstract

Let $K$ be any finite abelian extension of $\mathbb{Q}$, $k$ any subfield of $K$ and $r$ any integer. We complete the proof of the equivariant Tamagawa Number Conjecture for the pair $(h^0(Spec(K))(r),\mathbb{Z}[Gal(K/k)])$.