Computation of invariants in the theory of cyclotomic fields
Computation of invariants in the theory of cyclotomic fields
1. Let a prime number $p$ be fixed, and let $F_{n},$ $n\geqq 0$ , denote the cyclotomic field of $p^{n+1}$ -th roots of unity over the rational field $Q$ .Let $p^{c(n)}$ be the highest power of $p$ dividing the class number $h_{n}$ of $F_{n}$ .Then there exist integers $\lambda_{p}$ , …