Divisibility by 2-powers of certain quadratic class numbers

DOI10.1006/jnth.1993.1001zbMath0767.11054OpenAlexW2069636773MaRDI QIDQ1208163

Peter Stevenhagen

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1006/jnth.1993.1001

zbMATH Keywords

class numberquadratic fieldsdivisibility

Mathematics Subject Classification ID

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

Related Items (12)

The 2-primary class group of certain hyperelliptic curves ⋮ On the equation \(Y^ 2=(X+p)(X^ 2+p^ 2)\) ⋮ The Number of Real Quadratic Fields Having Units of Negative Norm ⋮ Quaternion extensions with restricted ramification ⋮ Frobenius distributions for real quadratic orders ⋮ On the 16-rank of class groups of \({\mathbb{Q}(\sqrt{-8p})}\) for \({p \equiv -1 \bmod 4}\) ⋮ On the 8-rank of narrow class groups of ℚ(−4pq), ℚ(−8pq), and ℚ(8pq) ⋮ 8-ranks of class groups of quadratic number fields and their densities ⋮ The 16-rank of \(\mathbb{Q}(\sqrt{-p})\) ⋮ Spins of prime ideals and the negative Pell equation ⋮ On abelian 2-ramification torsion modules of quadratic fields ⋮ A remark on prime (non)congruent numbers

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