Mordellyhtälöt
Mordellyhtälöt, often translated as Mordell equations, are a class of Diophantine equations that have fascinated mathematicians for centuries. The most famous form of a Mordell equation is y^2 = x^3 + k, where x, y, and k are integers. The central problem associated with these equations is to find all integer solutions (x, y) for a given integer k.
The study of these equations is closely tied to the theory of elliptic curves, which are cubic
The existence and number of integer solutions to Mordell equations depend heavily on the value of k.
The problem of finding integer points on elliptic curves, and by extension Mordell equations, is a deep