3 papers
math.NT2025
Improvements on dimension growth results and effective Hilbert's irreducibility theorem
Raf Cluckers, Pierre Dèbes, Yotam I. Hendel +2
We sharpen and generalize the dimension growth bounds for the number of points of bounded height lying on an irreducible algebraic variety of degree , over any global field. In…
math.AG2024
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…
math.LO2024
Almost real closed fields with real analytic structure
Kien Huu Nguyen, Mathias Stout, Floris Vermeulen
Cluckers and Lipshitz have shown that real closed fields equipped with real analytic structure are o-minimal. This generalizes the well-known subanalytic structure $\mathbb{R}_{\ma…