R. Cluckers

activity

20022005

most citedClassification of semi-algebraic

p

-adic sets up to semi-algebraic bijection

6 citations · 14 across the 12 of their papers we have counts for

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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…

math.NT2003★ 2 cited

Multivariate Igusa theory: Decay rates of exponential sums

Raf Cluckers

We obtain general estimates for exponential integrals of the form \[ E_f(y)=\int_{\mathbb{Z}_{p}^{n}}ψ(\sum_{j=1}^r y_j f_j(x))|dx|, \] where the $f_{j}$ are restricted power series…

math.NT2002

Analytic p-adic Cell Decomposition and Integrals

Raf Cluckers

We prove a conjecture of Denef on parameterized $p$ -adic analytic integrals using an analytic cell decomposition theorem, which we also prove in this paper. This cell decomposition…

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

Multivariate Igusa theory: Decay rates of exponential sums

Analytic p-adic Cell Decomposition and Integrals

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