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

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J. S. Frame, G. de B. Robinson, and R. M. Thrall, “The hook graphs of S n S_{n} ,” Canad. J. Math. 6

1954

Earlier work this paper cites.

G. Andrews, I. Goulden, D. M. Jackson, “Generalizations of Cauchy’s summation formula for Schur functions,” Trans. Amer. Math. Soc. 310

1988

Earlier work this paper cites.

P. J. Hanlon, R. Stanley, and J. R. Stembridge, “Some combinatorial aspects of the spectra of normally distributed random matrices,” Contemporary Mathematics 158

1992

Earlier work this paper cites.

Similar

R. Stanley, Enumerative Combinatorics , vol. 2, Cambridge University Press, New York/Cambridge, 1999

2000

Cited alongside, same era.

A. Lascoux, Symmetric Functions and Combinatorial Operators on Polynomials , CBMS Regional Conference Series in Mathematics, no. 99, American Mathematical Society, Providence, RI, 2003

2003

Cited alongside, same era.

T. Amdeberhan, “Differential operators, shifted parts, and hook lengths,” preprint; arXiv:0807.2473

Original

Cited in the paper.

S. Fujii, H. Kanno, S. Moriyama, and S. Okada, “Instanton calculus and chiral one-point functions in supersymmetric gauge theories,” Adv. Theor. Math. Phys. , to appear; arXiv:hep-th/0702125

Cited in the paper.

G.-N. Han, “The Nekrasov-Okounkov hook length formula: refinement, elementary proof, extension, and applications,” preprint; arXiv:0805.1398

Original

Cited in the paper.

G.-N. Han, “Some conjectures and open problems on partition hook lengths,” preprint available at www-irma.u-strasbg.fr/ ∼ \sim guoniu/hook

Cited in the paper.

G.-N. Han, “Hook lengths and shifted parts of partitions,” preprint; arXiv:0807.1801

Original

Cited in the paper.

G. Panova, “Proof of a conjecture of Okada,” preprint; arXiv:0811.3463

Original

Cited in the paper.

Built on

J. S. Frame, G. de B. Robinson, and R. M. Thrall, “The hook graphs of S n S_{n} ,” Canad. J. Math. 6

1954

Earlier work this paper cites.

G. Andrews, I. Goulden, D. M. Jackson, “Generalizations of Cauchy’s summation formula for Schur functions,” Trans. Amer. Math. Soc. 310

1988

Earlier work this paper cites.

P. J. Hanlon, R. Stanley, and J. R. Stembridge, “Some combinatorial aspects of the spectra of normally distributed random matrices,” Contemporary Mathematics 158

1992

Earlier work this paper cites.

Similar

R. Stanley, Enumerative Combinatorics , vol. 2, Cambridge University Press, New York/Cambridge, 1999

2000

Cited alongside, same era.

A. Lascoux, Symmetric Functions and Combinatorial Operators on Polynomials , CBMS Regional Conference Series in Mathematics, no. 99, American Mathematical Society, Providence, RI, 2003

2003

Cited alongside, same era.

T. Amdeberhan, “Differential operators, shifted parts, and hook lengths,” preprint; arXiv:0807.2473

Original

Cited in the paper.

S. Fujii, H. Kanno, S. Moriyama, and S. Okada, “Instanton calculus and chiral one-point functions in supersymmetric gauge theories,” Adv. Theor. Math. Phys. , to appear; arXiv:hep-th/0702125

Cited in the paper.

G.-N. Han, “The Nekrasov-Okounkov hook length formula: refinement, elementary proof, extension, and applications,” preprint; arXiv:0805.1398

Original

Cited in the paper.

G.-N. Han, “Some conjectures and open problems on partition hook lengths,” preprint available at www-irma.u-strasbg.fr/ ∼ \sim guoniu/hook

Cited in the paper.

G.-N. Han, “Hook lengths and shifted parts of partitions,” preprint; arXiv:0807.1801

Original

Cited in the paper.

G. Panova, “Proof of a conjecture of Okada,” preprint; arXiv:0811.3463

Original

Cited in the paper.