2 problems

Let $K$ be a CM-field with reflex field $K^*$, let $\mathfrak{f}$ be a modulus of $K$, and let $\mathfrak{f}^*$ be the corresponding modulus of $K^*$. Write … for the natural homom…

Let $K$ be an imaginary quadratic field, let $K_{(N)}$ denote the ray class field of modulus $N$, and consider an element … where $u_i,v_i\in\mathbf R$, $\tau_i\in\mathfrak{h}$,…