A generalized Igusa local zeta function and local densities of quadratic forms

DOI10.2748/tmj/1178227337zbMath0796.11015OpenAlexW1991449160MaRDI QIDQ1312824

Hidenori Katsurada

Publication date: 6 September 1994

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

Full work available at URL: https://doi.org/10.2748/tmj/1178227337

zbMATH Keywords

quadratic formslocal densitiesformal power seriesLaurent expansiongeneralization of Igusa's local zeta function

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Zeta functions and (L)-functions (11S40) Quadratic forms over local rings and fields (11E08)

Related Items (3)

Rationality of a certain formal power series attached to local densities of quadratic forms ⋮ A certain formal power series attached to local densities of quadratic forms. II ⋮ On power series attached to local densities

Cites Work

• Unnamed Item
• The rationality of the Poincaré series associated to the p-adic points on a variety
• Rationality criteria and application to the generating series of a system of equations with coefficients in a local field
• Rationality of a certain formal power series attached to local densities of quadratic forms
• Über die analytische Theorie der quadratischen Formen
• Complex powers and asymptotic expansions. I. Functions of certain types.

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