Hooks and powers of parts in partitions
Bacher, Roland ; Manivel, Laurent
HAL, hal-00012431 / Harvested from HAL
Text on HAL
This paper shows that the number of hooks of length k contained in all partitions of n equals k times the number of parts of length k in all partitions of n. It contains also formulas for the moments (under uniform distribution) of k-th parts in partitions of n.
Publié le : 2002-07-05
Classification:  [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO],  [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT] 
@article{hal-00012431,
     author = {Bacher, Roland and Manivel, Laurent},
     title = {Hooks and powers of parts in partitions},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00012431}
}

Bacher, Roland; Manivel, Laurent. Hooks and powers of parts in partitions. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00012431/