Rationality of a certain formal power series attached to local densities of quadratic forms

DOI10.1007/BF02567692zbMath0818.11020MaRDI QIDQ1328163

Hidenori Katsurada

Publication date: 6 September 1994

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155922

zbMATH Keywords

quadratic formrationalitysymmetric matricesformal power serieslocal densityIgusa's zeta function

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Zeta functions and (L)-functions (11S40) (p)-adic theory (11E95)

Related Items (2)

On power series attached to local densities ⋮ A generalized Igusa local zeta function and local densities of quadratic forms

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
• A generalized Igusa local zeta function and local densities of quadratic forms
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Local densities of quadratic forms and Fourier coefficients of Eisenstein series

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