Equidistribution and coprimality

This paper is devoted to the study of equidistributional properties of $\mathit{\text{totient}}\mathit{\text{points}}$ in ${\mathbb{N}}^r$, that is, of coprime $r$-tuples of integers, with particular emphasis on some relevant sets of totient points fulfilling extra divisibility or coprimality conditions, or lying on arithmetic progressions.