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arxiv: 1107.0506 · v1 · pith:NLQIBBRZnew · submitted 2011-07-04 · 🧮 math.NT

A mean value formula for elliptic curves

classification 🧮 math.NT
keywords ellipticmeann-divisionpointsvaluecurvecurvesformula
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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.

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