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

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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 $j=\frac{p-1}{8}$, $3\frac{p-1}{8}$, $5\frac{p-1}{8}$, $7\frac{p-1}{8}$.
Classification : 11B68, 11R18, 11R20, 11R29 
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     author = {Jakubec, Stanislav},
     title = {On divisibility of the class number of real octic fields of a prime conductor $p=n\sp 4+16$ by $p$},
     journal = {Archivum mathematicum},
     pages = {263--270},
     publisher = {mathdoc},
     volume = {30},
     number = {4},
     year = {1994},
     mrnumber = {1322570},
     zbl = {0818.11042},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1994__30_4_a2/}
}
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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/