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Hook Length Formulas for Partitions and Plane Trees

Why papers [5'] and [5''] remain unpublished ?

A few days after paper [5'] has been deposited on arXiv:0804.1849v2 [math.CO], I received an email from Andrei Okounkov who pointed out that the main identity in [5'] already appeared in his joint paper arXiv:hep-th/0306238v2.

When I got that email, I was completing a second paper [5''] in which I proposed a (t,y)-extension of the main identity. As the now called Nekrasov-Okounkov formula exists, I had to change my whole project. I have then decided the following:


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