NOTE ON THE p-DIVISIBILITY OF CLASS NUMBERS OF AN INFINITE FAMILY OF IMAGINARY QUADRATIC FIELDS

DOI10.1017/S001708952100015XMaRDI QIDQ5070179

Srilakshmi Krishnamoorthy, Sunil Kumar Pasupulati

Publication date: 11 April 2022

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

class numbersIizuka's conjecture

Mathematics Subject Classification ID

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

Related Items (2)

On the \(p\)-rationality of consecutive quadratic fields ⋮ Lehmer sequence approach to the divisibility of class numbers of imaginary quadratic fields

Cites Work

• A note on the divisibility of class numbers of imaginary quadratic fields \(\mathbb Q(\sqrt{a^2 - k^n})\)
• 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
• 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
• Divisibility of the class numbers of imaginary quadratic fields
• Parametrization of the quadratic fields whose class numbers are divisible by three
• On the number of solutions of the generalized Ramanujan-Nagell equation
• On the class number of certain imaginary quadratic fields
• 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
• NOTE ON THE DIVISIBILITY OF THE CLASS NUMBER OF CERTAIN IMAGINARY QUADRATIC FIELDS
• On the simultaneous 3-divisibility of class numbers of triples of imaginary quadratic fields
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