Geodesic
On divisibility of the class number of real octic fields of a prime conductor $p=n\sp 4+16$ by $p$
Archivum mathematicum, Tome 30 (1994) no. 4, pp. 263-270 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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The aim of this paper is to prove the following Theorem Theorem Let $K$ be an octic subfield of the field $Q(\zeta _p+\zeta _p^{-1})$ and let $p=n^4+16$ be prime. Then $p$ divides $h_K$ if and only if $p$ divides $B_j$ for some $j=\frac{p-1}{8}$, $3\frac{p-1}{8}$, $5\frac{p-1}{8}$, $7\frac{p-1}{8}$.
The aim of this paper is to prove the following Theorem Theorem Let $K$ be an octic subfield of the field $Q(\zeta _p+\zeta _p^{-1})$ and let $p=n^4+16$ be prime. Then $p$ divides $h_K$ if and only if $p$ divides $B_j$ for some $j=\frac{p-1}{8}$, $3\frac{p-1}{8}$, $5\frac{p-1}{8}$, $7\frac{p-1}{8}$.
Classification : 11B68, 11R18, 11R20, 11R29 
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Jakubec, Stanislav. On divisibility of the class number of real octic fields of a prime conductor $p=n\sp 4+16$ by $p$. Archivum mathematicum, Tome 30 (1994) no. 4, pp. 263-270. http://geodesic.mathdoc.fr/item/ARM_1994_30_4_a2/

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