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Paper 2009/586
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.
Metadata
- Available format(s)
- PDF PS
- Category
- Foundations
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- elliptic curvespoint multiplicationdivision polynomial
- Contact author(s)
- whfmath @ gmail com
- History
- 2010-07-16: last of 5 revisions
- 2009-12-04: received
- See all versions
- Short URL
- https://ia.cr/2009/586
- License
-
CC BY