An evaluation of the Ph. Hall function on rank 1 groups of lie type

In 1936 Ph. Hall introduced the generalized n-th Eulerian function on finite groups and the associated function that is called the n-th Hall function. The values of the latter are estimated in the article for three of the four series of Lie type groups of rank 1. When n=2, these evaluations confirm the Wiegold conjecture for the groups.