A continuous family of partition statistics equidistributed with length (Q1003648)

It is well known that the infinite product \(\prod_{i\geq 1} 1/(1-tq^i)\) is the generating function that enumerates partitions by area and number of parts. This paper provides uncountably many enumeration problems with the same generating function, and this is shown by explicit bijections relating them to the first mentioned problem.