Comparing the density of $D_4$ and $S_4$ quartic extensions of number fields

DOI10.1090/proc/15358zbMath1467.11101arXiv1910.06388OpenAlexW3103563466MaRDI QIDQ4985370

Daniel Keliher, Matthew Friedrichsen

Publication date: 23 April 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.06388

zbMATH Keywords

quartic fields\(S_4\)-extensions\(D_4\)-extensions

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42) Density theorems (11R45)

Related Items (1)

Enumerating \(D_4\) quartics and a Galois group bias over function fields

Cites Work

• Probabilistic properties of number fields
• The distribution of values of \(L(1,\chi_d)\)
• The density of discriminants of quartic rings and fields
• The large sieve
• The number of ramified primes in number fields of small degree
• On the density of discriminants of cubic fields. II
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