Class Numbers of Totally Imaginary Quadratic Extensions of Totally Real Fields

DOI10.2307/1996078zbMath0289.12010OpenAlexW4230853159MaRDI QIDQ4777401

Judith S. Sunley

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/1996078

zbMATH Keywords

class numberstotally real fieldstotally imaginary quadratic extensions

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) Totally real fields (11R80)

Related Items (7)

On the class number one problem for non-normal quartic CM-fields ⋮ On the number of integral ideals in a number field ⋮ Irreducibility criteria of Schur-type and Pólya-type ⋮ The class number one problem for some non-abelian normal CM-fields ⋮ On the irreducibility of a class of polynomials. III ⋮ Counting ideals in ray classes ⋮ Unconditional explicit Mertens' theorems for number fields and Dedekind zeta residue bounds

Cites Work

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• On the Phragmén-Lindelöf theorem and some applications
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• A generalization of Stark's theorem
• Imaginary quadratic fields of class number 2
• ON THE IMAGINARY QUADRATIC CORPORA OF CLASS-NUMBER ONE
• Negative discriminant of binary quadratic forms with one class in each genus
• On the class numbers of totally imaginary quadratic extensions of totally real fields
• Relative Imaginary Quadratic Fields of Class Number 1 or 2
• On Dirichlet's L Functions

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