Symmetry distribution between hook length and part length for partitions

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autorschaft

  • Christine Bessenrodt
  • Guo Niu Han

Organisationseinheiten

Externe Organisationen

  • Université de Strasbourg
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Details

OriginalspracheEnglisch
Seiten (von - bis)6070-6073
Seitenumfang4
FachzeitschriftDiscrete mathematics
Jahrgang309
Ausgabenummer20
Frühes Online-Datum4 Juni 2009
PublikationsstatusVeröffentlicht - 28 Okt. 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.

ASJC Scopus Sachgebiete

Zitieren

Symmetry distribution between hook length and part length for partitions. / Bessenrodt, Christine; Han, Guo Niu.
in: Discrete mathematics, Jahrgang 309, Nr. 20, 28.10.2009, S. 6070-6073.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Bessenrodt C, Han GN. Symmetry distribution between hook length and part length for partitions. Discrete mathematics. 2009 Okt 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 ; Jahrgang 309, Nr. 20. S. 6070-6073.
Download
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