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Durfee Polynomial


Let F(n) be a family of partitions of n and let F(n,d) denote the set of partitions in F(n) with Durfee square of size d. The Durfee polynomial of F(n) is then defined as the polynomial

 P_(F,n)=sum|F(n,d)|y^d,

where 0<=d<=sqrt(n).


See also

Durfee Square, Partition

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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.

Referenced on Wolfram|Alpha

Durfee Polynomial

Cite this as:

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

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