Approximating parametric suprema for constructible and power-constructible functions
Algebraic Geometry
2026-05-05 v2 Logic
Number Theory
Abstract
We prove that one may approximate parametric suprema of constructible and power-constructible functions using functions within the same class. This resolves a conjecture by Adiceam and Cluckers, which was posited after studying a question posed by Sarnak. We apply our result to prove that a certain subclass of Cexp-class distributions is tempered and to make uniform a bound concerning pushforward measures.
Keywords
Cite
@article{arxiv.2602.23126,
title = {Approximating parametric suprema for constructible and power-constructible functions},
author = {Tijs Buggenhout and Mathias Stout and Lisa Vandebrouck},
journal= {arXiv preprint arXiv:2602.23126},
year = {2026}
}
Comments
34 pages