On proportional constants of the mean value of class numbers of quadratic extensions

DOI10.1090/S0002-9947-07-04221-3zbMath1134.11041arXivmath/0410060MaRDI QIDQ3595029

Takashi Taniguchi

Publication date: 9 August 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410060

zbMATH Keywords

prehomogeneous vector spacesdensity theorems

Mathematics Subject Classification ID

Density theorems (11R45) Prehomogeneous vector spaces (11S90)

Related Items (2)

Asymptotics of Class Numbers for Real Quadratic Fields ⋮ A mean value theorem for the square of class number times regulator of quadratic extensions

Cites Work

• Eisenstein series of \(1\over 2\)-integral weight and the mean value of real Dirichlet L-series
• A mean value theorem for orders of degree zero divisor class groups of quadratic extensions over a function field
• The mean value of the product of class numbers of paired quadratic fields. III.
• The average measure of quadratic forms with given determinant and signature
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