A note on the divisibility of class numbers of imaginary quadratic fields \(\mathbb Q(\sqrt{a^2 - k^n})\)

DOI10.3792/pjaa.87.151zbMath1247.11139OpenAlexW2080397879MaRDI QIDQ764639

Akiko Ito

Publication date: 13 March 2012

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.87.151

zbMATH Keywords

imaginary quadratic fieldsclass numbersprimitive divisors of Lucas numbers

Mathematics Subject Classification ID

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

Related Items (5)

NOTE ON THE p-DIVISIBILITY OF CLASS NUMBERS OF AN INFINITE FAMILY OF IMAGINARY QUADRATIC FIELDS ⋮ Divisibility of the class numbers of imaginary quadratic fields ⋮ NON‐DIVISIBILITY OF CLASS NUMBERS AND PRIME VALUES OF POLYNOMIALS ⋮ Exponent of class group of certain imaginary quadratic fields ⋮ Partial Dedekind Zeta Values and Class Numbers of R–D Type Real Quadratic Fields

Cites Work

• Lucas and Lehmer numbers without primitive divisor
• Existence of primitive divisors of Lucas and Lehmer numbers
• REMARKS ON THE DIVISIBILITY OF THE CLASS NUMBERS OF IMAGINARY QUADRATIC FIELDS
• Divisibility of Class Numbers of Imaginary Quadratic Fields
• Solutions of Diophantine equations and divisibility of class numbers of complex quadratic fields
• NOTE ON THE DIVISIBILITY OF THE CLASS NUMBER OF CERTAIN IMAGINARY QUADRATIC FIELDS
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