On the convergence of the zeta function for certain prehomogeneous vector spaces

DOI10.1017/S0027763000005390zbMath0847.11044arXivmath/9408212OpenAlexW1553809660MaRDI QIDQ4882762

Akihiko Yukie

Publication date: 13 October 1996

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9408212

zbMATH Keywords

convergencezeta functionprehomogeneous vector spaceSchwartz-Bruhat function

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Other Dirichlet series and zeta functions (11M41) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Prehomogeneous vector spaces (11S90) Homogeneous complex manifolds (32M10)

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Cites Work

• Unnamed Item
• Prehomogeneous vector spaces and field extensions
• On zeta functions associated with prehomogeneous vector spaces
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• Zeta functions in several variables associated with prehomogeneous vector spaces. II: A convergence criterion