3 problems

Let $K/k$ be a Galois extension of number fields with Galois group $G$, let $p$ be an odd prime, let $n>1$, and let $S$ and $T$ be finite non-empty disjoint sets of places of $k$,…

Coates–Sinnott conjecture. One has

Coates–Sinnott conjecture. With this notation, for every prime $\ell\ne p$ and every $n\in\mathbb Z_{\ge 2}$,