Note on Nahm's partition function of the dual spectrum II

For pt.I see CERN publication TH2240. In part I, in considering the Nahm dual resonance mass spectra theory, it was noticed that there is another modular form; a generating function that transforms automorphically under T:w to -1/w and would realize the Veneziano dualism. The group structure associated with this form is studied since it appears, to the authors, to be more natural than Nahm's original. (6 refs).