On a family of mild functions

DOI10.1142/S179304212150041XzbMath1468.14101arXiv2006.16853MaRDI QIDQ5001857

Siegfried Van Hille

Publication date: 23 July 2021

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.16853

zbMATH Keywords

rational pointssubanalytic setsmild functionmild parametrization

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Rational points (14G05) Heights (11G50) Semialgebraic sets and related spaces (14P10) (C^infty)-functions, quasi-analytic functions (26E10) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Triangulation and topological properties of semi-analytic andsubanalytic sets, and related questions (32B25)

Related Items (3)

Mild parametrizations of power-subanalytic sets ⋮ Wilkie's conjecture for Pfaffian structures ⋮ Smooth parameterizations of power-subanalytic sets and compositions of Gevrey functions

Cites Work

• Unnamed Item
• Smooth parametrizations in dynamics, analysis, diophantine and computational geometry
• Mildness and the density of rational points on certain transcendental curves
• Counting rational points on a certain exponential-algebraic surface
• Complex cellular structures
• Analytic reparametrization of semi-algebraic sets
• A Multivariate Faa di Bruno Formula with Applications
• Uniform parameterization of subanalytic sets and diophantine applications

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