A Siegel formula for orthogonal groups over a function field

Haris, Stephen J.

doi:10.1090/S0002-9947-1974-0349584-1

A Siegel formula for orthogonal groups over a function field
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by Stephen J. Haris

Trans. Amer. Math. Soc. 190 (1974), 223-231

DOI: https://doi.org/10.1090/S0002-9947-1974-0349584-1

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Abstract:

We obtain a Siegel formula for a quadratic form over a function field, by establishing the convergence of the corresponding Eisenstein-Siegel series directly, then via the Hasse principle, that of the associated Poisson formula.

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