Dihedral Artin representations and CM fields

DOI10.1090/PROC/16793MaRDI QIDQ6566371

David E. Rohrlich

Publication date: 3 July 2024

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

zbMATH Keywords

dihedral group of order 8CM-fieldarithmetic statisticsGalois representations of dihedral type

Mathematics Subject Classification ID

Galois theory (11R32)

Cites Work

• Artin representations of \(\mathbb Q \) of dihedral type
• The number of \(D_4\)-fields ordered by conductor
• The density of discriminants of quartic rings and fields
• Conducteurs d'Artin des caracteres reels. (Artin conductors of real characters)
• The average measure of quadratic forms with given determinant and signature
• Density of discriminants of cubic extensions.
• Lower bounds for discriminants of number fields
• Comparing the density of $D_4$ and $S_4$ quartic extensions of number fields
• Quaternionic Artin representations of ℚ
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