Odd degree number fields with odd class number

DOI10.1215/00127094-2017-0050zbMath1422.11225arXiv1603.06269OpenAlexW2543841934WikidataQ114060431 ScholiaQ114060431MaRDI QIDQ1750378

Arul Shankar, Ila Varma, Wei Ho

Publication date: 18 May 2018

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.06269

zbMATH Keywords

number fieldsclass groupsCohen-Lenstra heuristicsarithmetic statisticsnarrow class groupsbinary \(n\)-ic forms

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Density theorems (11R45)

Related Items (8)

On Malle’s conjecture for nilpotent groups ⋮ Number fields with prescribed norms (with an appendix by Yonatan Harpaz and Olivier Wittenberg) ⋮ Chabauty Without the Mordell-Weil Group ⋮ Explicit methods for the Hasse norm principle and applications toA_nandS_nextensions ⋮ A new parametrization for ideal classes in rings defined by binary forms, and applications ⋮ ON THE -RANK OF CLASS GROUPS OF DIRICHLET BIQUADRATIC FIELDS ⋮ On the number of integral binary n$n$‐ic forms having bounded Julia invariant ⋮ Class field theory, Diophantine analysis and the asymptotic Fermat's last theorem

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