On the divisibility of the class number of imaginary quadratic number fields

DOI10.1090/S0002-9939-09-10021-7zbMath1269.11111OpenAlexW2087924126MaRDI QIDQ3648162

Stéphane R. Louboutin

Publication date: 24 November 2009

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-10021-7

zbMATH Keywords

class numberdivisibilityimaginary quadratic field

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29)

Related Items (13)

NOTE ON THE p-DIVISIBILITY OF CLASS NUMBERS OF AN INFINITE FAMILY OF IMAGINARY QUADRATIC FIELDS ⋮ On a conjecture of Iizuka ⋮ Divisibility of the class numbers of imaginary quadratic fields ⋮ On Mordell-Weil groups and congruences between derivatives of twisted Hasse-Weil \(L\)-functions ⋮ On -unramified extensions over imaginary quadratic fields ⋮ Lehmer sequence approach to the divisibility of class numbers of imaginary quadratic fields ⋮ Exponent of class group of certain imaginary quadratic fields ⋮ A Pair of Quadratic Fields with Class Number Divisible by 3 ⋮ Partial Dedekind Zeta Values and Class Numbers of R–D Type Real Quadratic Fields ⋮ On the divisibility of the class number of imaginary quadratic fields ⋮ An infinite family of pairs of imaginary quadratic fields with both class numbers divisible by five ⋮ On the exponents of class groups of some families of imaginary quadratic fields ⋮ Notes on the divisibility of the class numbers of imaginary quadratic fields \(\mathbb {Q}(\sqrt{3^{2e} - 4k^n})\)

Uses Software

• KANT/KASH

Cites Work

• Solving Thue equations of high degree
• Some results on the Mordell-Weil group of the Jacobian of the Fermat curve
• KANT V4
• On the divisibility of the class number of quadratic fields
• On the class number of certain imaginary quadratic fields
• Divisibility of Class Numbers of Imaginary Quadratic Fields
• NOTE ON THE DIVISIBILITY OF THE CLASS NUMBER OF CERTAIN IMAGINARY QUADRATIC FIELDS
• Unnamed Item

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