Bounds for the ℓ-torsion in class groups

DOI10.1112/blms.12113zbMath1398.11138arXiv1709.10137OpenAlexW2758996717MaRDI QIDQ4604600

Martin Widmer

Publication date: 2 March 2018

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.10137

zbMATH Keywords

class groupsWeil height\(\ell\)-torsion

Mathematics Subject Classification ID

Heights (11G50) Class numbers, class groups, discriminants (11R29) Density theorems (11R45) Class groups and Picard groups of orders (11R65)

Related Items (9)

ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group ⋮ Pointwise bound for \(\ell \)-torsion in class groups: elementary abelian extensions ⋮ Averages and higher moments for the \(\ell\)-torsion in class groups ⋮ Minimal Mahler measure in cubic number fields ⋮ Counting problems: class groups, primes, and number fields ⋮ \(\ell\)-torsion in class groups of certain families of \(D_4\)-quartic fields ⋮ An effective Chebotarev density theorem for families of number fields, with an application to \(\ell \)-torsion in class groups ⋮ Average bounds for the \(\ell\)-torsion in class groups of cyclic extensions ⋮ Genus theory and \(\varepsilon\)-conjectures on \(p\)-class groups

Cites Work

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• Integral points on elliptic curves and 3-torsion in class groups
• On the density of discriminants of cubic fields. II
• On the Exponent of the Ideal Class Groups of Complex Quadratic Fields

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