2 problems

Let $L/K$ be an abelian CM extension of number fields, with $K$ totally real, and let $G=\operatorname{Gal}(L/K)$. For finite sets of places $S,T$ of $K$, assume $S$ contains all r…

Let $\mathfrak{a}\subseteq\mathfrak{o}$ be a $G$-stable ideal. Write $E_{\mathfrak{a}}$ for the relevant ray-unit group,…