Über die Klassenzahl des Körpers \(P(\sqrt{-2p})\) mit einer Primzahl \(p\ne 2\)

DOI10.1016/0022-314X(69)90042-0zbMath0167.32302MaRDI QIDQ2530781

Helmut Hasse

Publication date: 1969

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

class numberquadratic fields

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29)

Related Items (17)

The 2-primary class group of certain hyperelliptic curves ⋮ On the 16-rank of class groups of \({\mathbb{Q}(\sqrt{-8p})}\) for \({p \equiv -1 \bmod 4}\) ⋮ On two of Liouville's quaternary forms ⋮ A NEW CHARACTERISATION FOR QUARTIC RESIDUACITY OF ⋮ Sur les \(\ell\)-classes d'idéaux dans les extensions cycliques rélatives de degré premier \(\ell\). I ⋮ On class numbers of pure quartic fields ⋮ The power of 2 dividing the class-number of a binary quadratic discriminant ⋮ On the 2-part of the class number of imaginary quadratic number fields ⋮ Classical Iwasawa theory and infinite descent on a family of abelian varieties ⋮ The 16-rank of \(\mathbb{Q}(\sqrt{-p})\) ⋮ Sylow subgroups of ideal class groups with moduli ⋮ Pieces of eight in class groups of quadratic fields ⋮ Some computational aspects of, and the use of computers in, algebraic number theory ⋮ Sur les \(\ell\)-classes d'idéaux dans les extensions cycliques rélatives de degré premier \(\ell\). II ⋮ Two theorems of Glaisher and Kaplansky ⋮ Class numbers of complex quadratic fields ⋮ On abelian 2-ramification torsion modules of quadratic fields

Cites Work

• Note on primes of type x2 + 32y2, class number, and residuacity.

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