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math.NT2005★ 1 cited
Fonctions constructibles exponentielles, transformation de Fourier motivique et principe de transfert
R. Cluckers, F. Loeser
We introduce spaces of exponential constructible functions in the motivic setting for which we construct direct image functors in the absolute and relative cases. This allows us to…
math.NT2004
The Fundamental Theorem of prehomogeneous vector spaces modulo . With an appendix "L-functions of prehomogeneous vector spaces" by Fumihiro Sato
Raf Cluckers, Adriaan Herremans
For a number field with ring of integers , we prove an analogue over finite rings of the form of the Fundamental Theorem on the…