R. Cluckers

activity

20022026

most citedConstructible motivic functions and motivic integration

83 citations · 294 across the 64 of their papers we have counts for

collaborators

Showing 2004Show all

3 papers · 1 filter

math.AG2004

Ax-Kochen-Er{š}ov Theorems for $p$ -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-…

math.AG2004★ 83 cited

Constructible motivic functions and motivic integration

R. Cluckers, F. Loeser

We introduce a direct image formalism for constructible motivic functions. One deduces a very general version of motivic integration for which a change of variables theorem is prov…

math.NT2004

The Fundamental Theorem of prehomogeneous vector spaces modulo $p^{m}$ . With an appendix "L-functions of prehomogeneous vector spaces" by Fumihiro Sato

Raf Cluckers, Adriaan Herremans

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…

Ax-Kochen-Er{š}ov Theorems for p-adic integrals and motivic integration

Constructible motivic functions and motivic integration

The Fundamental Theorem of prehomogeneous vector spaces modulo pm. With an appendix "L-functions of prehomogeneous vector spaces" by Fumihiro Sato

Ax-Kochen-Er{š}ov Theorems for $p$ -adic integrals and motivic integration

The Fundamental Theorem of prehomogeneous vector spaces modulo $p^{m}$ . With an appendix "L-functions of prehomogeneous vector spaces" by Fumihiro Sato