Details
Original language | English |
---|---|
Pages (from-to) | 6070-6073 |
Number of pages | 4 |
Journal | Discrete mathematics |
Volume | 309 |
Issue number | 20 |
Early online date | 4 Jun 2009 |
Publication status | Published - 28 Oct 2009 |
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.
Keywords
- Hook lengths, Hook type, Partitions, Symmetry distribution
ASJC Scopus subject areas
- Mathematics(all)
- Theoretical Computer Science
- Mathematics(all)
- Discrete Mathematics and Combinatorics
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In: Discrete mathematics, Vol. 309, No. 20, 28.10.2009, p. 6070-6073.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Symmetry distribution between hook length and part length for partitions
AU - Bessenrodt, Christine
AU - Han, Guo Niu
PY - 2009/10/28
Y1 - 2009/10/28
N2 - 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.
AB - 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.
KW - Hook lengths
KW - Hook type
KW - Partitions
KW - Symmetry distribution
UR - http://www.scopus.com/inward/record.url?scp=70349510605&partnerID=8YFLogxK
U2 - 10.1016/j.disc.2009.05.012
DO - 10.1016/j.disc.2009.05.012
M3 - Article
AN - SCOPUS:70349510605
VL - 309
SP - 6070
EP - 6073
JO - Discrete mathematics
JF - Discrete mathematics
SN - 0012-365X
IS - 20
ER -