In regime II of Baxter's solution of the hard-hexagon model [Baxter, R. J. (1980) J. Phys. A 13, L61-L70], he presents six conjectures identifying certain one-dimensional partition functions with infinite products. An outline of the proof of these conjectures is given here.
No takes yet. Share an insight, caveat, or question.
George E. Andrews (1981) studied this question.