On Perrine's generalized Markoff equations (Q1312246)

The author takes up \textit{S. Perrine}'s [J. Number Theory 37, 211-230 (1991; Zbl 0714.11039)] discussion of integral solutions to the generalized Markoff equations \(x^ 2 + y^ 2 + z^ 2 = 4xyz - n\), \(n\) a positive integer. In particular, Perrine's partial listing of solutions is complemented by giving one or more infinite trees within which lie all solutions. The work here, well presented, follows Cassels in the classical case.