Symmetry distribution between hook length and part length for partitions

authored by

Christine Bessenrodt, Guo Niu Han

Abstract

It is known that the two statistics on integer partitions "hook length" and "part length" are equidistributed over the set of all partitions of n. We extend this result by proving that the bivariate joint generating function by those two statistics is symmetric. Our method is based on a generating function by a triple statistic much easier to calculate.

Organisation(s)

Faculty of Mathematics and Physics

External Organisation(s)

University of Strasbourg

Type

Article

Journal

Discrete mathematics

Volume

309

Pages

6070-6073

No. of pages

4

ISSN

0012-365X

Publication date

28.10.2009

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Theoretical Computer Science, Discrete Mathematics and Combinatorics

Electronic version(s)

https://doi.org/10.1016/j.disc.2009.05.012 (Access: Embargoed)