4 problems

Let $F$ be a totally real field, let $\mathfrak{n}$ be a nonzero ideal, let $F(\mathfrak{n})$ be its narrow ray class field, and let $H$ be the maximal CM subfield in which…

Assume that $(S,T,V)$ satisfies (C1), and let $\hat{\Theta}_{S,T,V}$, $p_H$, and $\hat{R}_{H/F,S,T}$ be the inverse-limit Shintani element, projection, and regulator defined in the…

Let $F^{\times}$ act on the coefficient module $\beta(W)$ for $W\subset V$, and let $\xi_{v,e}(\vartheta)$ be the class associated with a choice of $v\in S_{\infty}\setminus V$ and…

Assume that $(S,T,V)$ satisfies (C1), let $\hat{\Theta}_{S,T,V,J}\in D/I_{F^{\times}}D$ be the Shintani-datum element, and let $\hat{R}_{H/F,S,T,J}$ be the corresponding regulator.…