Infinite products over visible lattice points (Q1338413)

The concept of visible-from-the-origin lattice points in the \(xy\) plane has been described in Apostol. These points have the property that their coordinates are relatively prime. Recently a number of new identities based on summation or products taken on these points have been obtained by the author. In this paper some of the more notable results are presented. These are extended to higher dimensions and more general theorems are proved.