Pila–Wilkie theorem

GPTKB entity

Statements (15)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:concerns gptkb:o-minimal_structures
rational points
gptkbp:field model theory
number theory
https://www.w3.org/2000/01/rdf-schema#label Pila–Wilkie theorem
gptkbp:namedAfter gptkb:Jonathan_Pila
gptkb:Alex_Wilkie
gptkbp:publicationYear 2006
gptkbp:publishedIn gptkb:Annals_of_Mathematics
gptkbp:state The number of rational points of bounded height on a transcendental set definable in an o-minimal structure grows slower than any power of the height.
gptkbp:usedIn gptkb:André–Oort_conjecture
gptkbp:yearProved 2006
gptkbp:bfsParent gptkb:Jonathan_Pila
gptkbp:bfsLayer 6