On the 16-rank of class groups of \({\mathbb{Q}(\sqrt{-8p})}\) for \({p \equiv -1 \bmod 4}\)

DOI10.1007/s00039-017-0419-6zbMath1381.11103arXiv1511.07127OpenAlexW3125314167MaRDI QIDQ2400829

Djordjo Milovic

Publication date: 30 August 2017

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.07127

zbMATH Keywords

imaginary quadratic fieldsclass groupsCohen-Lenstra heuristicsVinogradov method16-ranks

Mathematics Subject Classification ID

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

Related Items (15)

On the distribution of \(\mathrm{Cl}(K)[l^\infty\) for degree \(l\) cyclic fields] ⋮ On the 16-rank of class groups of $\mathbb{Q}(\sqrt{-3p})$ for primes $p$ congruent to 1 modulo 4 ⋮ Redei reciprocity, governing fields and negative Pell ⋮ Averages and higher moments for the \(\ell\)-torsion in class groups ⋮ On \(\ell\)-torsion in class groups of number fields ⋮ On the 8-rank of narrow class groups of ℚ(−4pq), ℚ(−8pq), and ℚ(8pq) ⋮ On the class group of an imaginary cyclic field of conductor \(8p\) and \(2\)-power degree ⋮ On class numbers of pure quartic fields ⋮ Joint distribution of spins ⋮ DISTRIBUTION OF GALOIS GROUPS OF MAXIMAL UNRAMIFIED 2-EXTENSIONS OVER IMAGINARY QUADRATIC FIELDS ⋮ The 16-rank of \(\mathbb{Q}(\sqrt{-p})\) ⋮ Spins of prime ideals and the negative Pell equation ⋮ The distribution of \(p\)-torsion in degree \(p\) cyclic fields ⋮ On abelian 2-ramification torsion modules of quadratic fields ⋮ A cubic analogue of the Friedlander-Iwaniec spin over primes

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