Тотожність Діофанта та її модифікації

Abstract

Interest in Diophantine equations is caused by a large number of life situations, the solution of which can be realized with the help of these equations. In the classical sense, these are polynomial equations with integer (rational) coefficients, in which the variables can take only integer values. It was this feature that led to the study of the properties of numbers. This work is devoted to the consideration of the identity of Diophantus and its possible modification.