Notes on the divisibility of the class numbers of imaginary quadratic fields \(\mathbb {Q}(\sqrt{3^{2e} - 4k^n})\)

DOI10.1007/s12188-015-0106-1zbMath1400.11145arXiv1212.1733OpenAlexW256196446MaRDI QIDQ2348680

Akiko Ito

Publication date: 15 June 2015

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.1733

zbMATH Keywords

class numberdivisibilityimaginary quadratic field

Mathematics Subject Classification ID

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

Related Items (3)

Divisibility of the class numbers of imaginary quadratic fields ⋮ Exponent of class group of certain imaginary quadratic fields ⋮ On the exponents of class groups of some families of imaginary quadratic fields

Cites Work

• Some results on the Mordell-Weil group of the Jacobian of the Fermat curve
• On the divisibility of the class number of quadratic fields
• On the number of solutions of the generalized Ramanujan-Nagell equation
• On the class number of certain imaginary quadratic fields
• REMARKS ON THE DIVISIBILITY OF THE CLASS NUMBERS OF IMAGINARY QUADRATIC FIELDS
• On the divisibility of the class number of imaginary quadratic number fields
• NOTE ON THE DIVISIBILITY OF THE CLASS NUMBER OF CERTAIN IMAGINARY QUADRATIC FIELDS – CORRIGENDUM
• The Diophantine equation 2𝑥²+1=3ⁿ
• Divisibility of Class Numbers of Imaginary Quadratic Fields
• Solutions of Diophantine equations and divisibility of class numbers of complex quadratic fields
• Lucas and fibonacci numbers and some diophantine Equations
• On the divisibility of the class number of imaginary quadratic fields
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