2 papers
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.NT2019
Uniform Yomdin-Gromov parametrizations and points of bounded height in valued fields
Raf Cluckers, Arthur Forey, François Loeser
We prove a uniform version of non-Archimedean Yomdin-Gromov parametrizations in a definable context with algebraic Skolem functions in the residue field. The parametrization result…