Divisibility of class numbers of certain families of quadratic fields

zbMath1460.11132arXiv1712.07338MaRDI QIDQ3306039

Azizul Hoque, Kalyan Chakraborty

Publication date: 12 August 2020

Full work available at URL: https://arxiv.org/abs/1712.07338

zbMATH Keywords

class numberquadratic extensions

Mathematics Subject Classification ID

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

Related Items (8)

NOTE ON THE p-DIVISIBILITY OF CLASS NUMBERS OF AN INFINITE FAMILY OF IMAGINARY QUADRATIC FIELDS ⋮ On a conjecture of Iizuka ⋮ 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 ⋮ On Lebesgue–Ramanujan–Nagell Type Equations ⋮ Partial Dedekind Zeta Values and Class Numbers of R–D Type Real Quadratic Fields ⋮ Non-divisibility of the class number of imaginary quadratic fields and some applications

Cites Work

• A note on quadratic fields whose class numbers are divisible by 3
• A criterion for a certain type of imaginary quadratic fields to have 3-ranks of the ideal class groups greater than one
• Note on the class numbers of certain real quadratic fields
• A constructive approach to Spiegelung relations between 3-ranks of absolute ideal class groups and congruent ones modulo \((3)^2\) in quadratic fields
• Real quadratic fields with class numbers divisible by \(n\)
• Parametrization of the quadratic fields whose class numbers are divisible by three
• On unramified Galois extensions of quadratic number fields
• On the number of real quadratic fields with class number divisible by 3
• Effective Determination of the Decomposition of the Rational Primes in a Cubic Field
• ON THE IDEAL CLASS GROUP OF CERTAIN QUADRATIC FIELDS
• On Real Quadratic Fields whose Class Numbers are Multiples of 3.

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