An explicit formula for the Siegel series of a quadratic form over a non-archimedean local field
2021 ◽
Vol 0
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Abstract Let F be a non-archimedean local field of characteristic 0, and 𝔬 {{\mathfrak{o}}} the ring of integers in F. We give an explicit formula for the Siegel series of a half-integral matrix over 𝔬 {{\mathfrak{o}}} . This formula expresses the Siegel series of a half-integral matrix B explicitly in terms of the Gross–Keating invariant of B and its related invariants.
1968 ◽
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pp. 1178-1191
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