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Note on the rational points of a pfaff curve

Jonathan Pila
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Abstract

Let X be the graph in the plane of a pfaffian function f (in the sense of Khovanskii). Suppose X is not algebraic. This note gives an upper bound for the number of rational points on X of height up to X. The bound is uniform in the order and degre of f.

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Jonathan Pila. 2005-06-15. Note on the rational points of a pfaff curve. https://arxiv.org/abs/math/0506293

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