On a Class of Enumeration Problems in Additive Arithmetics Original Research Article

Given positive integers k, r and the linear form in k variables with coefficients in N, the paper gives the answer to the question: how many k-dimensional points in the domain give function values relatively prime to r if the points have coordinates (a) from the set of positive integers not greater than r and not relatively prime to r, or (b) from the set of positive integers less than r and relatively prime to r?