Florent Hivert ; Olivier Mallet - Combinatorics of k-shapes and Genocchi numbers

dmtcs:2928 - Discrete Mathematics & Theoretical Computer Science, January 1, 2011, DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) - https://doi.org/10.46298/dmtcs.2928
Combinatorics of k-shapes and Genocchi numbersConference paper

Authors: Florent Hivert ORCID1; Olivier Mallet 1

  • 1 Laboratoire d'Informatique, de Traitement de l'Information et des Systèmes

In this paper we present a work in progress on a conjectural new combinatorial model for the Genocchi numbers. This new model called irreducible k-shapes has a strong algebraic background in the theory of symmetric functions and leads to seemingly new features on the theory of Genocchi numbers. In particular, the natural q-analogue coming from the degree of symmetric functions seems to be unknown so far.

https://doi.org/10.46298/dmtcs.2928
Source: HAL:hal-01215049v1
Volume: DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)
Section: Proceedings
Published on: January 1, 2011
Imported on: January 31, 2017
Keywords: partitions,cores,symmetric functions,[MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO],[INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]

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