On the relations among the class numbers of binary cubic forms

DOI10.1007/s002220050259zbMath1016.11014OpenAlexW2044956029MaRDI QIDQ1273304

Jin Nakagawa

Publication date: 19 May 2003

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002220050259

zbMATH Keywords

class numbersDirichlet seriesclass field theoryDedekind zeta-functionsintegral binary cubic forms

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Class numbers of quadratic and Hermitian forms (11E41)

Related Items (11)

Orders in cubic number fields ⋮ Identities for field extensions generalizing the Ohno–Nakagawa relations ⋮ Secondary terms in counting functions for cubic fields ⋮ The mean number of 3-torsion elements in ray class groups of quadratic fields ⋮ On the Ohno-Nakagawa theorem ⋮ On a remarkable identity in class numbers of cubic rings ⋮ On the zeta function associated with module classes of a number field ⋮ Shintani’s zeta function is not a finite sum of Euler products ⋮ The mean number of 3-torsion elements in the class groups and ideal groups of quadratic orders ⋮ Dirichlet series associated to cubic fields with given quadratic resolvent ⋮ Dirichlet series associated to quartic fields with given cubic resolvent

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