Note on the rational points of a pfaff curve
Number Theory
2007-05-23 v1
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.
Cite
@article{arxiv.math/0506293,
title = {Note on the rational points of a pfaff curve},
author = {Jonathan Pila},
journal= {arXiv preprint arXiv:math/0506293},
year = {2007}
}
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8 pages