83 citations · 294 across the 64 of their papers we have counts for
71 papers
From Cell Decomposition to Motivic Integration, Hensel Minimality, and Point Counting
Raf Cluckers
Following Macintyre's quantifier elimination result for semi-algebraic -adic sets from 1976, Denef's cell decomposition from 1984 has played a catalyzing role for both motivic i…
Corrigendum to `Evaluation of motivic functions, non-nullity, and integrability in fibers', Advances in Mathematics, Vol. 409, Part A, Paper No. 108635, 29 pages, doi:10.1016/j.aim.2022.108635 (2022)
Raf Cluckers, Immanuel Halupczok
We correct the statements and proofs of the (auxiliary) Propositions 4.1 and 4.2 of our paper `Evaluation of motivic functions, non-nullity, and integrability in fibers' in Advance…
Serre's question on thin sets in projective space
Tijs Buggenhout, Raf Cluckers, Per Salberger +2
We answer a question of Serre from the 1980s on rational points of bounded height on projective thin sets, in degree at least . For degrees and we improve the known boun…
Motivic Mellin transforms
Raf Cluckers, François Loeser, Kien Huu Nguyen +1
This work brings Mellin transforms into the realm of motivic integration. The new, larger class of motivic functions is stable under motivic Mellin and Fourier transforms, with gen…
Eventual tightness of projective dimension growth bounds: quadratic in the degree
Raf Cluckers, Itay Glazer
In projective dimension growth results, one bounds the number of rational points of height at most on an irreducible hypersurface in of degree by $C(n)d^2 H…
Analytic holonomicity of real C-class distributions
Avraham Aizenbud, Raf Cluckers, Michel Raibaut +1
We introduce a notion of distributions on , called distributions of C-class, based on wavelet transforms of distributions and the theory from Clucker…