On Arithmetic Progressions on Genus Two Curves
On Arithmetic Progressions on Genus Two Curves
We study arithmetic progression in the x-coordinate of rational points on genus two curves. As we know, there are two models for the curve C of genus two: C : y 2 = f5(x) or C : y 2 = f6(x), where f5, f6 2 Q(x), deg f5 = 5, …