The mean value of the product of class numbers of paired quadratic fields. III.

DOI10.1016/S0022-314X(02)00058-6zbMath1039.11086MaRDI QIDQ1869818

Akihiko Yukie, Anthony C. Kable

Publication date: 28 April 2003

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

binary Hermitian formsquadratic fieldsdensity theoremprehomogeneous vector spacelocal zeta functions

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Density theorems (11R45) Prehomogeneous vector spaces (11S90) Zeta functions and (L)-functions (11S40)

Related Items (7)

The mean value of the product of class numbers of paired quadratic fields. I ⋮ On the density of unnormalized Tamagawa numbers of orthogonal groups III ⋮ A mean value theorem for the square of class number times regulator of quadratic extensions ⋮ On proportional constants of the mean value of class numbers of quadratic extensions ⋮ On the density theorem related to the space of non-split tri-Hermitian forms. I ⋮ On the Shintani zeta function for the space of pairs of binary Hermitian forms ⋮ On the density theorem related to the space of non-split tri-Hermitian forms. II

Cites Work

• Prehomogeneous vector spaces and field extensions. II
• The mean value of the product of class numbers of paired quadratic fields. II.
• The mean value of the product of class numbers of paired quadratic fields. I
• Unnamed Item

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