19 citations · 110 across the 59 of their papers we have counts for
6 papers · 1 filter
Hook lengths and shifted parts of partitions
Guo-Niu Han
Some conjectures on partition hook lengths, recently stated by the author, have been proved and generalized by Stanley, who also needed a formula by Andrews, Goulden and Jackson on…
Hook lengths and 3-cores
Guo-Niu Han, Ken Ono
Recently, the first author generalized a formula of Nekrasov and Okounkov which gives a combinatorial formula, in terms of hook lengths of partitions, for the coefficients of certa…
The Nekrasov-Okounkov hook length formula: refinement, elementary proof, extension and applications
Guo-Niu Han
The paper is devoted to the derivation of the expansion formula for the powers of the Euler Product in terms of partition hook lengths, discovered by Nekrasov and Okounkov in their…
An explicit expansion formula for the powers of the Euler Product in terms of partition hook lengths
Guo-Niu Han
We discover an explicit expansion formula for the powers of the Euler Product (or Dedekind -function) in terms of hook lengths of partitions, where the exponent is any c…
Yet another generalization of Postnikov's hook length formula for binary trees
Guo-Niu Han
We discover another one-parameter generalization of Postnikov's hook length formula for binary trees. The particularity of our formula is that the hook length appears as an e…
New hook length formulas for binary trees
Guo-Niu Han
We find two new hook length formulas for binary trees. The particularity of our formulas is that the hook length appears as an exponent.