2007
DOI: 10.24033/bsmf.2543
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The fundamental theorem of prehomogeneous vector spaces modulo $p^m$ (With an appendix by F. Sato)

Abstract: Abstract. -For a number field K with ring of integers O K , we prove an analogue over finite rings of the form O K /P m of the fundamental theorem on the Fourier transform of a relative invariant of prehomogeneous vector spaces, where P is a big enough prime ideal of O K and m > 1. In the appendix, F. Sato gives an application of the Theorems 1.1, 1.

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