Local densities of representations of quadratic forms over \(p\)-adic integers (the non-dyadic case)

DOI10.1006/jnth.1999.2505zbMath0949.11023OpenAlexW2041146651MaRDI QIDQ1573781

Yumiko Hironaka, Fumihiro Sato

Publication date: 9 August 2000

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1999.2505

zbMATH Keywords

explicit formulalocal densityintegral symmetric matricesinvariants of quadratic forms

Mathematics Subject Classification ID

(p)-adic theory (11E95) Quadratic forms over local rings and fields (11E08)

Related Items (9)

An explicit formula for the Siegel series of a quadratic form over a non-Archimedean local field ⋮ On the Fourier coefficients of the Siegel Eisenstein series of odd level and the genus theta series ⋮ Arithmetic volumes for lattices over \(p\)-adic rings ⋮ On \(p\)-adic Siegel Eisenstein series ⋮ On the Fourier coefficients of Siegel Eisenstein series of degree 3 of an odd prime level with the quadratic character ⋮ Transfer and local density for Hermitian lattices ⋮ ANALYTIC PROPERTIES OF EISENSTEIN SERIES AND STANDARD -FUNCTIONS ⋮ Local densities of 2-adic quadratic forms ⋮ Group schemes and local densities of quadratic lattices in residue characteristic 2

Cites Work

• Fourier coefficients of Eisenstein series of degree 3
• Central derivatives of Eisenstein series and height pairings
• Local zeta functions on Hermitian forms and its application to local densities
• An explicit formula for local densities of quadratic forms
• Local densities of alternating forms
• On certain generalized Gaussian sums
• On rationality properties of involutions of reductive groups
• A note on local densities of quadratic forms
• Local densities of quadratic forms and Fourier coefficients of Eisenstein series
• The 2‐adic density of a quadratic form
• An Explicit Formula for Siegel Series
• An explicit formula for the Fourier coefficients of Siegel-Eisenstein series of degree 3
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