On the Pila-Wilkie theorem

DOI10.1016/j.exmath.2022.03.001OpenAlexW3096971043WikidataQ113874246 ScholiaQ113874246MaRDI QIDQ2674680

Neer Bhardwaj, L. P. D. van den Dries

Publication date: 14 September 2022

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.14046

zbMATH Keywords

o-minimalitycounting theorem

Mathematics Subject Classification ID

Arithmetic algebraic geometry (Diophantine geometry) (11G99) Model theory of ordered structures; o-minimality (03C64)

Cites Work

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• The Yomdin-Gromov algebraic lemma revisited
• Volume growth and entropy
• Semianalytic and subanalytic sets
• On the real exponential field with restricted analytic functions
• The elementary theory of restricted analytic fields with exponentiation
• On the algebraic points of a definable set
• Complex cellular structures
• Wilkie's conjecture for restricted elementary functions
• The rational points of a definable set
• The number of integral points on arcs and ovals
• Asymptotic Differential Algebra and Model Theory of Transseries
• A generalization of the Tarski-Seidenberg theorem, and some nondefinability results
• Definable Sets in Ordered Structures. I
• Exponentiation is Hard to Avoid
• Quasianalytic Denjoy-Carleman classes and o-minimality
• Integer points on the dilation of a subanalytic surface
• Model completeness results for expansions of the ordered field of real numbers by restricted Pfaffian functions and the exponential function

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