The number of \(D_4\)-fields ordered by conductor

DOI10.4171/JEMS/1070zbMath1473.11203arXiv1704.01729MaRDI QIDQ2039591

Ila Varma, S. Ali Altug, Arul Shankar, Kevin H. Wilson

Publication date: 5 July 2021

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.01729

zbMATH Keywords

arithmetic statisticsanalytic number theoryMalle's conjecture

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Density theorems (11R45)

Related Items (7)

On Malle’s conjecture for nilpotent groups ⋮ Heights on stacks and a generalized Batyrev–Manin–Malle conjecture ⋮ Number fields with prescribed norms (with an appendix by Yonatan Harpaz and Olivier Wittenberg) ⋮ Explicit methods for the Hasse norm principle and applications toA_nandS_nextensions ⋮ Idélic approach in enumerating Heisenberg extensions ⋮ Counting 3-dimensional algebraic tori over \(\mathbb{Q}\) ⋮ The number of quartic 𝐷₄-fields with monogenic cubic resolvent ordered by conductor

Uses Software

• LMFDB

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