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math.NT2019
Rational sequences on different models of elliptic curves
Gamze Savaş ÇELİK, Mohammad Sadek, Gökhan Soydan
Given a set of elements in a number field , we discuss the existence of planar algebraic curves over which possess rational points whose -coordinates are exactly the…
math.NT2019
On quadratic progression sequences on smooth plane curves
Eslam Badr, Mohammad Sadek
We study the arithmetic (geometric) progressions in the -coordinates of quadratic points on smooth projective planar curves defined over a number field . Unless the curve is…