On zeta functions associated with quadratic forms of variable coefficients

DOI10.1017/S0027763000018353zbMath0409.10012MaRDI QIDQ4196481

Toshiaki Suzuki

Publication date: 1979

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

zbMATH Keywords

Analytic ContinuationFunctional EquationZeta FunctionPrehomogeneous Vector SpacesAdelic MethodsIndefinite Quadratic FormsTamagawa Numbers

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Related Items (8)

Relative invariants of 2-simple prehomogeneous vector spaces of type I ⋮ Zeta Functions for the Adjoint Action of GL(n) and Density of Residues of Dedekind Zeta Functions ⋮ Zeta functions in several variables associated with prehomogeneous vector spaces. I: Functional equations ⋮ Zeta functions in several variables associated with prehomogeneous vector spaces. I: Functional equations ⋮ The Adelic Zeta Function Associated With the Space of Binary Cubic Forms With Coefficients in a Function Field ⋮ Zeta functions in several variables associated with prehomogeneous vector spaces. II: A convergence criterion ⋮ Microlocal analysis and calculations on some relatively invariant hyperfunctions related to zeta functions associated with the vector spaces of quadratic forms ⋮ The adèlic zeta function associated to the space of binary cubic forms. I: Global theory

Cites Work

• A mean value theorem in adele geometry
• Über die analytische Theorie der quadratischen Formen
• Über die Zetafunktionen indefiniter quadratischer Formen
• On Algebraic Groups and Discontinuous Groups

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