Zeta functions of prehomogeneous affine spaces

DOI10.1017/S0027763000004657zbMath0789.11053MaRDI QIDQ4278766

Takashi Sugano, Atsushi Murase

Publication date: 13 June 1994

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

zbMATH Keywords

functional equationszeta functionsHermitian formprehomogeneous vector spaceprehomogeneous affine space

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)

Cites Work

• Micro-local analysis of prehomogeneous vector spaces
• On zeta functions associated with prehomogeneous vector spaces
• \(H\)-fixed distribution vectors for generalized principal series of reductive symmetric spaces and meromorphic continuation of Eisenstein integrals
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• Zeta functions in several variables associated with prehomogeneous vector spaces. I: Functional equations

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