Durfee Polynomial -- from Wolfram MathWorld

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Durfee Polynomial

Let be a family of partitions of and let denote the set of partitions in with Durfee square of size . The Durfee polynomial of is then defined as the polynomial

where .

REFERENCES:

Canfield, E. R.; Corteel, S.; and Savage, C. D. "Durfee Polynomials." Electronic J. Combinatorics 5, No. 1, R32, 1-21, 1998. http://www.combinatorics.org/Volume_5/Abstracts/v5i1r32.html.

CITE THIS AS:

Weisstein, Eric W. "Durfee Polynomial." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/DurfeePolynomial.html