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Note on the rational points of a pfaff curve

Abstract

Let X subset of R-2 be the graph of a Pfaffian function f in the sense of Khovanskii. Suppose that X is non-algebraic. This note gives an estimate for the number of rational points on X of height less than or equal to H; the estimate is uniform in the order and degree of f.Let X subset of R-2 be the graph of a Pfaffian function f in the sense of Khovanskii. Suppose that X is non-algebraic. This note gives an estimate for the number of rational points on X of height less than or equal to H; the estimate is uniform in the order and degree of f

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