1 citations · 1 across the 4 of their papers we have counts for
4 papers
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…
Analytic cell decomposition and analytic motivic integration
R. Cluckers, L. Lipshitz, Z. Robinson
The main results of this paper are a Cell Decomposition Theorem for Henselian valued fields with analytic structure in an analytic Denef-Pas language, and its application to analyt…
Ax-Kochen-Er{š}ov Theorems for -adic integrals and motivic integration
R. Cluckers, F. Loeser
This survey paper, to appear in he proceedings of the Miami Winter School ``Geometric Methods in Algebra and Number Theory'', is concerned with extending classical results à la Ax-…
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…