Is there an intuitive way to define what the p-quotient of an integer partition is?
In response to the comments: my vague understanding is that the p-quotient is somehow division with remainder generalized to partitions. They turn up in the classic by Littlewood that I was reading: http://rspa.royalsocietypublishing.org/content/209/1098/333.abstract See also Macdonalds book on symmetric functions and Hall polynomials.

