Combinatorics of k-shapes and Genocchi numbers

Autor: Florent Hivert, Olivier Mallet
Jazyk: angličtina
Rok vydání: 2011
Předmět:
Zdroj: Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AO,..., Iss Proceedings (2011)
Druh dokumentu: article
ISSN: 1365-8050
DOI: 10.46298/dmtcs.2928
Popis: 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.
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