Jacob's ladders and wander from Hardy-Littlewood integral (1918) to the $ζ$-Platonic cube form of equivalent of the Fermat-Wiles theorem

In this paper we obtain $ζ$-Platonic cube form of our almost linear formula. From this follows, for example, the $ζ$-Platonic equivalent of the Fermat-Wiles theorem. The last result represents the point of contact between the Hardy-Littlewood integral and the Fermat-Wiles theorem and also with one of the Platonic solid - cube.