Hook lengths and shifted parts of partitions

Guo-Niu Han (1)

1 IRMA - Institut de Recherche Mathématique Avancée

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 symmetric functions to complete his derivation. Another identity on symmetric functions can be used instead. The purpose of this note is to prove it.

Domaines: Combinatoire [math.CO]

Guo-Niu Han. Hook lengths and shifted parts of partitions. Ramanujan Journal, 2009, 9 p. ⟨hal-00395690⟩