The divisibility of the class number of the imaginary quadratic fields \(\mathbb{Q}(\sqrt{1-2m^k})\)

DOI10.1007/S11139-024-00860-3MaRDI QIDQ6579286

Srilakshmi Krishnamoorthy, R. Muneeswaran

Publication date: 25 July 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

zbMATH Keywords

class numberimaginary quadratic fieldsideal class groupDiophantine equation

Mathematics Subject Classification ID

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

Cites Work

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• On the divisibility of class numbers of imaginary quadratic fields \((\mathbb{Q}(\sqrt{D}),\mathbb{Q}(\sqrt{D+m}))\)
• A note on the class group of composita
• Proof of the existence of infinitely many imaginary quadratic fields whose class number is not divisible by 3
• Some results on the Mordell-Weil group of the Jacobian of the Fermat curve
• On the class number divisibility of pairs of imaginary quadratic fields
• Real quadratic fields with class numbers divisible by \(n\)
• On the exponents of class groups of some families of imaginary quadratic fields
• On a conjecture of Iizuka
• On unramified Galois extensions of quadratic number fields
• On the divisibility of the class number of quadratic fields
• On the number of solutions of the generalized Ramanujan-Nagell equation
• A note on the Fourier coefficients of a Cohen-Eisenstein series
• Divisibility of class numbers of certain families of quadratic fields
• The Arithmetic of Elliptic Curves
• On the divisibility of the class number of imaginary quadratic number fields
• On the divisibility of the class number of imaginary quadratic fields
• Über die Klassenzahl imaginär-quadratischer Zahlkörper.

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