On the 16-Rank of Class Groups of ℚ(√-2p) for Primes p ≡ 1 mod 4

DOI10.1093/imrn/rny010zbMath1460.11134arXiv1705.05505OpenAlexW3104195374MaRDI QIDQ5210825

Peter Koymans, Djordjo Milovic

Publication date: 21 January 2020

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.05505

zbMATH Keywords

class groupsVinogradov's method

Mathematics Subject Classification ID

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

Related Items (8)

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 ⋮ On the class groups of certain imaginary cyclic fields of 2-power degree ⋮ Counting problems: class groups, primes, and number fields ⋮ Joint distribution of spins ⋮ 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

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