... q2n−41.We note that our second method can be applied to obtain generating functions for anyL-tuple of permutations Σ which are to contain a given set S of common descents and a given set T of ... (1.2) A surprisingly large number of results on generating functions for various permutationstatistics that have appeared in the literature as well as a large number of new generating functions for ... Hook Tableauof shape (4,5,6,6)/(1,3,3) and type (2,2,4,6) A Transposed Special Rim Hook Tableauof shape (4,5,6,6)/(1,3,3) and type (2,3,4,5)Figure 3: A special rim hook tabloid and a transposed...