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NOTE ON THE RATIONAL POINTS OF A PFAFF CURVE
Published online by Cambridge University Press: 30 May 2006
Abstract
Let $X\subset\mathbb{R}^2$ 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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- Copyright © Edinburgh Mathematical Society 2006
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