Many textbooks contain material on partitions. Two standard references are [A] and [S]. A partition of a natural integer n with parts λ1, . . . , λk is a finite decreasing sequence λ = (λ1 ≥ λ2 ≥ · · · ≥ λk > 0) of natural integers λ1, . . . , λk > 0 such that n = ∑k i=1 λi. We denote by |λ| the content n of λ. Partitions are also written as sums: n = λ1 + · · ·+ λk and one uses also the (abusi...