On the Shintani zeta function for the space of pairs of binary Hermitian forms

DOI10.1006/jnth.2001.2707zbMath1020.11078arXivmath/9602215OpenAlexW2041159427MaRDI QIDQ5961001

Akihiko Yukie

Publication date: 22 April 2002

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

Full work available at URL: https://arxiv.org/abs/math/9602215

zbMATH Keywords

binary Hermitian formsdensity theoremprehomogeneous vector spaceprincipal partunadjusted zeta function

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Other Dirichlet series and zeta functions (11M41) Prehomogeneous vector spaces (11S90)

Related Items

The mean value of the product of class numbers of paired quadratic fields. I ⋮ On the zeta functions of prehomogeneous vector spaces for a pair of simple algebras ⋮ On the density of unnormalized Tamagawa numbers of orthogonal groups III

Cites Work

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• The adèlic zeta function associated to the space of binary cubic forms. I: Global theory
• Eisenstein series of \(1\over 2\)-integral weight and the mean value of real Dirichlet L-series
• Prehomogeneous vector spaces and field extensions
• On the Shintani zeta function for the space of binary tri-Hermitian forms
• 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. III.
• The mean value of the product of class numbers of paired quadratic fields. I
• The adelic zeta function associated to the space of binary cubic forms. II: Local theory.
• Density of discriminants of cubic extensions.
• Convergence of the zeta functions of prehomogeneous vector spaces
• On the Density of Discriminants of Cubic Fields
• On the density of discriminants of cubic fields. II
• On Dirichlet series whose coefficients are class numbers of integral binary cubic forms
• Zeta functions in several variables associated with prehomogeneous vector spaces. II: A convergence criterion