Symmetry distribution between hook length and part length for partitions

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Christine Bessenrodt
  • Guo Niu Han

Research Organisations

External Research Organisations

  • University of Strasbourg
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Details

Original languageEnglish
Pages (from-to)6070-6073
Number of pages4
JournalDiscrete mathematics
Volume309
Issue number20
Early online date4 Jun 2009
Publication statusPublished - 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

Cite this

Symmetry distribution between hook length and part length for partitions. / Bessenrodt, Christine; Han, Guo Niu.
In: Discrete mathematics, Vol. 309, No. 20, 28.10.2009, p. 6070-6073.

Research output: Contribution to journalArticleResearchpeer review

Bessenrodt C, Han GN. Symmetry distribution between hook length and part length for partitions. Discrete mathematics. 2009 Oct 28;309(20):6070-6073. Epub 2009 Jun 4. doi: 10.1016/j.disc.2009.05.012
Bessenrodt, Christine ; Han, Guo Niu. / Symmetry distribution between hook length and part length for partitions. In: Discrete mathematics. 2009 ; Vol. 309, No. 20. pp. 6070-6073.
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