On the Rubin-Stark conjecture for a special class of CM extensions of totally real number fields. (Q1762707)

The author proves Rubin's integral version of Stark's conjecture, up to a power of \(2\), for an infinite class of CM extensions of totally real number fields, called by Greither ``nice extensions'', under the assumption that a certain Iwasawa \(\mu\)-invariant vanishes. By restricting this result to \(L\)-functions of order of vanishing \(1\) at \(s=0\), he proves that the Brumer-Stark conjecture is true, up to a power of \(2\), for ``nice extensions'', under the same assumption.