# DISTRIBUTION OF RATIONAL POINTS IN THE REAL LOCUS OF ELLIPTIC CURVES

• HAHN, S. (Department of Mathematics KAIST) ;
• LEE, D.H. (National Security Research Institute (NSRI))
• Published : 2002.12.31

#### Abstract

Let $E/{\mathbb{Q}$ be an elliptic curve defined over rationals, P is a non-torsion rational point of E and $$S=\{[n]P{\mid}n{\in}{\mathbb{Z}}\}$$. then S is dense in the component of $E({\mathbb{R}})$ which contains the infinity in the usual Euclidean topology or in the topology defined by the invariant Haar measure and it is uniformly distributed.