Combinatorics of k-shapes and Genocchi numbers
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 p...
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| Format: | Article |
| Language: | English |
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Discrete Mathematics & Theoretical Computer Science
2011-01-01
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| Series: | Discrete Mathematics & Theoretical Computer Science |
| Subjects: | |
| Online Access: | https://dmtcs.episciences.org/2928/pdf |
| _version_ | 1797270387539574784 |
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| author | Florent Hivert Olivier Mallet |
| author_facet | Florent Hivert Olivier Mallet |
| author_sort | Florent Hivert |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-25T02:03:28Z |
| format | Article |
| id | doaj.art-e8c03a39f85b47ad82a2ddc9d0aca4d1 |
| institution | Directory Open Access Journal |
| issn | 1365-8050 |
| language | English |
| last_indexed | 2024-04-25T02:03:28Z |
| publishDate | 2011-01-01 |
| publisher | Discrete Mathematics & Theoretical Computer Science |
| record_format | Article |
| series | Discrete Mathematics & Theoretical Computer Science |
| spelling | doaj.art-e8c03a39f85b47ad82a2ddc9d0aca4d12024-03-07T14:49:33ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80502011-01-01DMTCS Proceedings vol. AO,...Proceedings10.46298/dmtcs.29282928Combinatorics of k-shapes and Genocchi numbersFlorent Hivert0https://orcid.org/0000-0002-7531-5985Olivier Mallet1Laboratoire d'Informatique, de Traitement de l'Information et des SystèmesLaboratoire d'Informatique, de Traitement de l'Information et des SystèmesIn 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://dmtcs.episciences.org/2928/pdfpartitionscoressymmetric functions[math.math-co] mathematics [math]/combinatorics [math.co][info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| spellingShingle | Florent Hivert Olivier Mallet Combinatorics of k-shapes and Genocchi numbers Discrete Mathematics & Theoretical Computer Science partitions cores symmetric functions [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| title | Combinatorics of k-shapes and Genocchi numbers |
| title_full | Combinatorics of k-shapes and Genocchi numbers |
| title_fullStr | Combinatorics of k-shapes and Genocchi numbers |
| title_full_unstemmed | Combinatorics of k-shapes and Genocchi numbers |
| title_short | Combinatorics of k-shapes and Genocchi numbers |
| title_sort | combinatorics of k shapes and genocchi numbers |
| topic | partitions cores symmetric functions [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| url | https://dmtcs.episciences.org/2928/pdf |
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