Amitai Regev and Anatoly Vershik,
Asymptotics of Young Diagrams and Hook Numbers
The authors conjectured that the two multisets of hook lengths that appear
in Theorem 1.2.2 are identical. This conjecture has been proved
independently by Doron Zeilberger and Amitai Regev (
to appear in Annals of
Combinatorics), and by Svante Janson (this
Journal, Volume 4(1), paper #R24).