Maximal class numbers of CM number fields

DOI10.1016/j.jnt.2009.09.013zbMath1185.11065OpenAlexW2035964868MaRDI QIDQ962995

Ryan C. Daileda, Raju Krishnamoorthy, Anton Valentinovich Malyshev

Publication date: 8 April 2010

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.09.013

zbMATH Keywords

class numbergeneralized Riemann hypothesisArtin \(L\)-functionCM number field

Mathematics Subject Classification ID

Galois theory (11R32) Other number fields (11R21) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42)

Related Items (5)

ON TORSION OF CLASS GROUPS OF CM TORI ⋮ Explicit estimates for Artin \(L\)-functions: Duke's short-sum theorem and Dedekind zeta residues ⋮ Unnamed Item ⋮ Dihedral and cyclic extensions with large class numbers ⋮ Genus theory and \(\varepsilon\)-conjectures on \(p\)-class groups

Cites Work

• Unnamed Item
• Unnamed Item
• An inequality relating the regulator and the discriminant of a number field
• Real quadratic fields with large class number
• Non-abelian number fields with very large class numbers
• On the Distribution of Quadratic Residues and Nonresidues Modulo a Prime Number

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