A note on quadratic fields whose class numbers are divisible by 3

DOI10.1007/s40324-015-0051-zzbMath1342.11086OpenAlexW2151477367MaRDI QIDQ258865

Azizul Hoque, Helen K. Saikia

Publication date: 10 March 2016

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-015-0051-z

zbMATH Keywords

class numberquadratic fieldfundamental unitfundamental discriminant

Mathematics Subject Classification ID

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

Related Items (6)

Divisibility of class numbers of certain families of quadratic fields ⋮ On the divisibility of class numbers of quadratic fields and the solvability of Diophantine equations ⋮ A Pair of Quadratic Fields with Class Number Divisible by 3 ⋮ 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 ⋮ Infinite families of class groups of quadratic fields with 3-rank at least one: quantitative bounds

Cites Work

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• On generalized Mersenne prime
• A few remarks on class numbers of imaginary quadratic number fields
• Real quadratic fields with class number divisible by 3
• Parametrization of the quadratic fields whose class numbers are divisible by three
• On generalized mersenne primes and class-numbers of equivalent quadratic fields and cyclotomic fields
• Sur les nombres de classes de certains corps quadratiques
• The class-number of real quadratic number fields
• On the divisibility of the class number of quadratic fields
• On the class number of certain imaginary quadratic fields
• On the number of real quadratic fields with class number divisible by 3

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