Enumerating quartic dihedral extensions of \(\mathbb Q\) with signatures.

DOI10.5802/aif.1946zbMath1114.11085OpenAlexW3112646714MaRDI QIDQ1395340

Henri Cohen

Publication date: 26 June 2003

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2003__53_2_339_0

zbMATH Keywords

quartic reciprocitydiscriminant countinggenus character

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

Counting discriminants of number fields ⋮ Monogenic dihedral quartic extensions ⋮ On the Colmez conjecture for non-abelian CM fields ⋮ The number of ramified primes in number fields of small degree

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