Some combinatorial properties of hook lengths, contents, and parts of partitions
The main result of this paper is a generalization of a conjecture of Guoniu Han, originally inspired by an identity of Nekrasov and Okounkov. Our result states that if F is any symmetric function (say over ℚ) and if $$\Phi_n(F)=\frac{1}{n!}\sum_{\lambda\vdash n}f_\lambda^2F(h_u^2:u\in\lambda),$$ w...
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| Format: | Article |
| Language: | en_US |
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Springer
2011
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| Online Access: | http://hdl.handle.net/1721.1/60871 https://orcid.org/0000-0003-3123-8241 |