The Singular Connection Between a Family of Exponential Functions and the Fermat–Wiles’ Theorem. Version 3

The advances related to Modular Elliptic Curves and the Fermat – Wiles’ theorem in recent years has opened the door to entirely new approaches to numerous problems and techniques. This paper studies the linking between a family of exponential function and the Fermat – Wiles’ theorem. In this family, the convergence of the coordinates of the abscissas of the maxima and the equation determined by the fulfilment of the maximum condition leads to a singular connection with the Fermat – Wiles’ theorem.