Durfee_square
Durfee square
Integer partition attribute, in number theory
In number theory, a Durfee square is an attribute of an integer partition. A partition of n has a Durfee square of size s if s is the largest number such that the partition contains at least s parts with values ≥ s.[1] An equivalent, but more visual, definition is that the Durfee square is the largest square that is contained within a partition's Ferrers diagram.[2] The side-length of the Durfee square is known as the rank of the partition.[3]
The Durfee symbol consists of the two partitions represented by the points to the right or below the Durfee square.