Research in group theory has long embraced equations as a means to elucidate the structure and behaviour of groups. In particular, Diophantine problems—those surrounding the existence and ...

This is a preview. Log in through your library . Abstract A class of Diophantine equations is defined and an algorithm for solving each equation in this class is developed. The methods consist of ...

In this paper, we first show that, under certain conditions, the solution of a single quadratic diophantine equation in four variables 𝑄(𝓍₁, 𝓍₂, 𝓍₃, 𝓍₄) = 0 can be expressed in terms of bilinear ...