Publications

Update: 2021/02/02

Index | By year | Hook formula | Trees | Hankel | Interdiscipline | Divers |


[110] G.-N. Han, H. Xiong, Skew doubled shifted plane partitions: calculus and asymptotics, Electron. Res. Arch., 29, 2021, pp. 1841-1857. [download pdf ]

[103] G.-N. Han, H. Xiong, Polynomiality of Plancherel averages of hook-content summations for strict, doubled distinct and self-conjugate partitions, J. Combin. Theory, Ser. A, 168, 2019, pp. 50-83. [download pdf ]

[101] G.-N. Han, H. Xiong, Polynomiality of certain average weights for oscillating tableaux, Electronic J. Combinatorics, 25, #P4.6, 2018, 14 pages. [download pdf ]

[99] G.-N. Han, H. Xiong, Some useful theorems for asymptotic formulas and their applications to skew plane partitions and cylindric partitions, Advances in Appl. Math., 96, 2018, pp. 18-38. [download pdf ]

[98] G.-N. Han, H. Xiong, Difference operators for partitions and some applications, Annals of Combin., 22, 2018, pp. 317-346. [download pdf ]

[96] G.-N. Han, H. Xiong, New hook-content formulas for strict partitions, Journal of Algebraic Combinatorics, 45, 2017, pp. 1001-1019. [download pdf ]

[92] P.-O. Dehaye, G.-N. Han, H. Xiong, Difference operators for partitions under the Littlewood decomposition, The Ramanujan Journal, 44, 2017, pp. 197-225. [download pdf ]

[90] G.-N. Han, H. Xiong, New hook-content formulas for strict partitions (extended abstract), Disc. Math. and Theoretical Computer Science, 2017, 11 pages. [download pdf ]

[76] Paul-Olivier Dehaye and Guo-Niu Han, A multiset hook length formula and some applications, Discrete Mathematics, 311, 2011, pp. 2690-2702. [Download | View ]

[68] Ch. Bessenrodt, G.-N. Han, Symmetry distribution between hook length and part length for partitions, Discrete Mathematics, 309, 2009, pp. 6070-6073. [download pdf ]

[67] G.-N. Han, Kathy Q. Ji, Combining hook length formulas and BG-ranks for partitions via the Littlewood decomposition, Trans. Amer. Math. Soc., 363, 2011, pp. 1041-1060. [download pdf ]

[63] G.-N. Han, Hook lengths and shifted parts of partitions, The Ramanujan Journal, 23, 2010, pp. 127-135. [download pdf ]

[62] G.-N. Han, The Nekrasov-Okounkov hook length formula: refinement, elementary proof, extension and applications, Annales de l'Institut Fourier, 60, 2010, pp. 1-29. [Download - View ]

[61] G.-N. Han and Ken Ono, Hook lengths and 3-cores, Annals of Combin., 15, 2011, pp. 305-312. [download pdf ]

[60] G.-N. Han, Some conjectures and open problems on partition hook lengths, Experimental Mathematics, 18, 2009, pp. 97-106. [download pdf ]

[59] G.-N. Han, Yet another generalization of Postnikov's hook length formula for binary trees, SIAM J. Discrete Math, 23, 2009, pp. 661-664. [download pdf ]

[58] G.-N. Han, New hook length formulas for binary trees, Combinatorica, 30, 2010, pp. 253-256. [download pdf ]

[57] G.-N. Han, Discovering hook length formulas by an expansion technique, Electronic J. Combinatorics, 15(1), #R133, 2008, 41 pages. [download pdf ]