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math.NT2026
A New Characteristic-Uniform Model for Elliptic Curves -- Theory, Arithmetic, and Applications
Hongfeng Wu
We develop a characteristic-uniform arithmetic theory for \[ \mathcal C_d:\quad (u^2+u)(v^2+v)=d. \] For \(d(1-16d)\ne0\), its smooth \((2,2)\)-completion has four rational boundar…
math.NT2011★ 1 cited
A mean value formula for elliptic curves
Rongquan Feng, Hongfeng Wu
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-coordinat…