A mean value formula for elliptic curves
Number Theory
2011-07-05 v1
Abstract
It is proved in this paper that for any point on an elliptic curve, the mean value of x-coordinates of its n-division points is the same as its x-coordinate and that of y-coordinates of its n-division points is n times of its y-coordinate.
Keywords
Cite
@article{arxiv.1107.0506,
title = {A mean value formula for elliptic curves},
author = {Rongquan Feng and Hongfeng Wu},
journal= {arXiv preprint arXiv:1107.0506},
year = {2011}
}