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19972023
most citedA conjectured combinatorial interpretation of the normalized irreducible character values of the symmetric group

31 citations · 158 across the 54 of their papers we have counts for

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Showing 2008Show all

3 papers · 1 filter

math.CO2008★ 2 cited

Polynomial Coefficient Enumeration

Tewodros Amdeberhan, Richard P. Stanley

Let be a polynomial over a field . This paper considers such questions as the enumeration of the number of nonzero coefficients of or of the number of coeff…

math.CO2008

Promotion and Evacuation

Richard P. Stanley

Promotion and evacuation are bijections on the set of linear extensions of a finite poset first defined by Schutzenberger. This paper surveys the basic properties of these two oper…

math.CO2008

Some Combinatorial Properties of Hook Lengths, Contents, and Parts of Partitions

Richard P. Stanley

This paper proves a generalization of a conjecture of Guoniu Han, inspired originally by an identity of Nekrasov and Okounkov. The main result states that certain sums over partiti…