None

Peter Roquette, Joachim Cuntz, David Masser, Tobias Colding, Daniel Huybrechts, Jun-Muk Hwang, Jakob Stix, Rainer Weissauer, Theresa Haney, Franz Stückle

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.

Locations

• Journal für die reine und angewandte Mathematik (Crelles Journal) - View - PDF