scientific article

zbMath0638.12001MaRDI QIDQ3778834

Yoshihiro Ônishi, Kuniaki Horie

Publication date: 1988

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002205874

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zbMATH Keywords

imaginary quadratic fields with prescribed class number and discriminant

Mathematics Subject Classification ID

Quadratic extensions (11R11) Iwasawa theory (11R23)

Related Items (11)

Existence of an infinite family of pairs of quadratic fields \(\mathbb{Q}(\sqrt{m_1D})\) and \(\mathbb{Q}(\sqrt{m_2D})\) whose class numbers are both divisible by 3 or both indivisible by 3 ⋮ Cotorsion of anti-cyclotomic Selmer groups on average ⋮ Nonvanishing modulo \(l\) of Fourier coefficients of half-integral weight modular forms ⋮ On the theta operator for Hermitian modular forms of degree 2 ⋮ Trace formulae and imaginary quadratic fields ⋮ Multi-quadratic \(p\)-rational number fields ⋮ A weak form of Greenberg's generalized conjecture for imaginary quadratic fields ⋮ A note on the existence of certain infinite families of imaginary quadratic fields. ⋮ Indivisibility of class numbers of real quadratic function fields ⋮ Existence of certain fundamental discriminants and class numbers of real quadratic fields. ⋮ On families of imaginary abelian fields with pseudo-null unramified Iwasawa modules

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