Combinatorics of k-shapes and Genocchi numbers
International audience 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...
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ftnormandieuniv:oai:HAL:hal-01215049v1 2024-04-28T08:25:52+00:00 Combinatorics of k-shapes and Genocchi numbers Hivert, Florent Mallet, Olivier Laboratoire d'Informatique, de Traitement de l'Information et des Systèmes (LITIS) Université Le Havre Normandie (ULH) Normandie Université (NU)-Normandie Université (NU)-Université de Rouen Normandie (UNIROUEN) Normandie Université (NU)-Institut national des sciences appliquées Rouen Normandie (INSA Rouen Normandie) Institut National des Sciences Appliquées (INSA)-Normandie Université (NU)-Institut National des Sciences Appliquées (INSA) Bousquet-Mélou Mireille and Wachs Michelle and Hultman Axel Reykjavik, Iceland 2011 https://inria.hal.science/hal-01215049 https://inria.hal.science/hal-01215049/document https://inria.hal.science/hal-01215049/file/dmAO0144.pdf https://doi.org/10.46298/dmtcs.2928 en eng HAL CCSD Discrete Mathematics and Theoretical Computer Science DMTCS info:eu-repo/semantics/altIdentifier/doi/10.46298/dmtcs.2928 hal-01215049 https://inria.hal.science/hal-01215049 https://inria.hal.science/hal-01215049/document https://inria.hal.science/hal-01215049/file/dmAO0144.pdf doi:10.46298/dmtcs.2928 info:eu-repo/semantics/OpenAccess ISSN: 1462-7264 EISSN: 1365-8050 Discrete Mathematics and Theoretical Computer Science 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) https://inria.hal.science/hal-01215049 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, Reykjavik, Iceland. pp.493-504, ⟨10.46298/dmtcs.2928⟩ partitions cores symmetric functions [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM] info:eu-repo/semantics/conferenceObject Conference papers 2011 ftnormandieuniv https://doi.org/10.46298/dmtcs.2928 2024-04-11T00:42:06Z International audience 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. Dans cet article, nous présentons un travail en cours sur un nouveau modèle combinatoire conjectural pour les nombres de Genocchi. Ce nouveau modèle est celui des k-formes irréductibles, qui repose sur de solides bases algébriques en lien avec la théorie des fonctions symétriques et qui conduit à des aspects apparemment nouveaux de la théorie des nombres de Genocchi. En particulier, le q-analogue naturel venant du degré des fonctions symétriques semble inconnu jusqu'ici. Conference Object Iceland Normandie Université: HAL Discrete Mathematics & Theoretical Computer Science DMTCS Proceeding Proceedings |
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Normandie Université: HAL |
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ftnormandieuniv |
language |
English |
topic |
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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partitions cores symmetric functions [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM] Hivert, Florent Mallet, Olivier Combinatorics of k-shapes and Genocchi numbers |
topic_facet |
partitions cores symmetric functions [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM] |
description |
International audience 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. Dans cet article, nous présentons un travail en cours sur un nouveau modèle combinatoire conjectural pour les nombres de Genocchi. Ce nouveau modèle est celui des k-formes irréductibles, qui repose sur de solides bases algébriques en lien avec la théorie des fonctions symétriques et qui conduit à des aspects apparemment nouveaux de la théorie des nombres de Genocchi. En particulier, le q-analogue naturel venant du degré des fonctions symétriques semble inconnu jusqu'ici. |
author2 |
Laboratoire d'Informatique, de Traitement de l'Information et des Systèmes (LITIS) Université Le Havre Normandie (ULH) Normandie Université (NU)-Normandie Université (NU)-Université de Rouen Normandie (UNIROUEN) Normandie Université (NU)-Institut national des sciences appliquées Rouen Normandie (INSA Rouen Normandie) Institut National des Sciences Appliquées (INSA)-Normandie Université (NU)-Institut National des Sciences Appliquées (INSA) Bousquet-Mélou Mireille and Wachs Michelle and Hultman Axel |
format |
Conference Object |
author |
Hivert, Florent Mallet, Olivier |
author_facet |
Hivert, Florent Mallet, Olivier |
author_sort |
Hivert, Florent |
title |
Combinatorics of k-shapes and Genocchi numbers |
title_short |
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_sort |
combinatorics of k-shapes and genocchi numbers |
publisher |
HAL CCSD |
publishDate |
2011 |
url |
https://inria.hal.science/hal-01215049 https://inria.hal.science/hal-01215049/document https://inria.hal.science/hal-01215049/file/dmAO0144.pdf https://doi.org/10.46298/dmtcs.2928 |
op_coverage |
Reykjavik, Iceland |
genre |
Iceland |
genre_facet |
Iceland |
op_source |
ISSN: 1462-7264 EISSN: 1365-8050 Discrete Mathematics and Theoretical Computer Science 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) https://inria.hal.science/hal-01215049 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, Reykjavik, Iceland. pp.493-504, ⟨10.46298/dmtcs.2928⟩ |
op_relation |
info:eu-repo/semantics/altIdentifier/doi/10.46298/dmtcs.2928 hal-01215049 https://inria.hal.science/hal-01215049 https://inria.hal.science/hal-01215049/document https://inria.hal.science/hal-01215049/file/dmAO0144.pdf doi:10.46298/dmtcs.2928 |
op_rights |
info:eu-repo/semantics/OpenAccess |
op_doi |
https://doi.org/10.46298/dmtcs.2928 |
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Discrete Mathematics & Theoretical Computer Science |
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DMTCS Proceeding |
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Proceedings |
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1797585513063907328 |