Jacob's ladders, almost linear increments of the Hardy-Littlewood integral (1918) and their relation to the Titchmarsh's sums (1943) and the Fermat-Wiles theorem

In this paper we give some new consequences that follow from our formula for increments of the Hardy-Littlewood integral. The main of these ones are ${\mathcal{T}}_1$ and ${\mathcal{T}}_2$ equivalents of the Fermat-Wiles theorem.