Effective Pila--Wilkie bounds for unrestricted Pfaffian surfaces

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Abstract

We prove effective Pila--Wilkie estimates for the number of rational points of bounded height lying on certain surfaces defined by Pfaan
functions. The class of surfaces to which our result applies includes, for instance, graphs of unrestricted Pfaan functions defined on the plane.

Bibliographical metadata

Original languageEnglish
Pages (from-to)0
JournalMathematische Annalen
Volume0
DOIs
Publication statusPublished - 25 Jul 2020

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