Zeta functions in several variables associated with prehomogeneous vector spaces. II: A convergence criterion

DOI10.2748/tmj/1178229103zbMath0513.14011OpenAlexW2140710067MaRDI QIDQ5966426

Fumihiro Sato

Publication date: 1983

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229103

zbMATH Keywords

prehomogeneous vector spaceszeta functions

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Homogeneous complex manifolds (32M10)

Related Items (11)

On a multiple Dirichlet series associated to binary cubic forms ⋮ Eisenstein series on weakly spherical homogeneous spaces of \(GL(n)\) ⋮ The modularity of Siegel's zeta functions ⋮ On the convergence of the zeta function for certain prehomogeneous vector spaces ⋮ Functional equations of zeta functions associated with homogeneous cones ⋮ Modular forms arising from zeta functions in two variables attached to prehomogeneous vector spaces related to quadratic forms ⋮ Zeta functions in several variables associated with prehomogeneous vector spaces. I: Functional equations ⋮ On the number of quintic fields ⋮ Converse theorems for automorphic distributions and Maass forms of level \(N\) ⋮ On the Shintani zeta function for the space of pairs of binary Hermitian forms ⋮ Zeta functions of prehomogeneous vector spaces with coefficients related to periods of automorphic forms

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