Note on the rational points of a pfaff curve

Mathematics – Number Theory

Scientific paper

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8 pages

Scientific paper

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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