[Resource Topic] 2009/586: A mean value formula for elliptic curves

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Title:
A mean value formula for elliptic curves

Authors: Rongquan Feng, 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.

ePrint: https://eprint.iacr.org/2009/586

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