Local densities of quadratic forms and Fourier coefficients of Eisenstein series

DOI10.1017/S0027763000000647zbMath0603.10022MaRDI QIDQ3739211

Yoshiyuki Kitaoka

Publication date: 1986

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

zbMATH Keywords

Eisenstein seriesformal power seriesFourier coefficientlocal representation densities of quadratic forms

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Theta series; Weil representation; theta correspondences (11F27)

Related Items (9)

Rationality of a certain formal power series attached to local densities of quadratic forms ⋮ A mass formula for unimodular lattices with no roots ⋮ A certain formal power series attached to local densities of quadratic forms. II ⋮ A recursion formula for local densities ⋮ A remark on Kitaoka formal power series attached to local densities ⋮ On power series attached to local densities ⋮ An explicit formula for Siegel series ⋮ Euler factor of a certain Dirichlet series attached to Siegel Eisenstein series ⋮ Local densities of representations of quadratic forms over \(p\)-adic integers (the non-dyadic case)

Cites Work

• Dirichletsche Reihe mit Funktionalgleichung in der Theorie der Modulfunktion 2. Grades
• Fourier coefficients of Eisenstein series of degree 3
• The Siegel operator and Hecke operators
• SPHERICAL FUNCTIONS FORGL_nOVER LOCAL FIELDS, AND SUMMATION OF HECKE SERIES
• Dirichlet series in the theory of Siegel modular forms
• A note on local densities of quadratic forms
• ON THE CONNECTION OF THE EIGENVALUES OF HECKE OPERATORS AND THE FOURIER COEFFICIENTS OF EIGENFUNCTIONS FOR SIEGEL'S MODULAR FORMS OF GENUS $ n$

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