Shintani-domain formula for the Brumer–Stark unit
Let eee be the order of p\mathfrak pp in GfG_{\mathfrak f}Gf, and suppose that pe=(π)\mathfrak p^e=(\pi)pe=(π) with π\piπ totally positive and π≡1(modf)\pi\equiv1\pmod{\mathfrak f}π≡1(modf). Let D\mathcal DD…