**A mean value formula for elliptic curves**

*Rongquan Feng and Hongfeng Wu*

**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 the mean value of $y$-coordinates of its $n$-division points is the $n$ times of its $y$-coordinate.

**Category / Keywords: **foundations / elliptic curves, point multiplication, division polynomial

**Date: **received 1 Dec 2009, last revised 15 Jul 2010

**Contact author: **whfmath at gmail com

**Available format(s): **Postscript (PS) | Compressed Postscript (PS.GZ) | PDF | BibTeX Citation

**Version: **20100716:052455 (All versions of this report)

**Short URL: **ia.cr/2009/586

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