New infinite hierarchies of polynomial identities related to the Capparelli partition theorems
We prove a new polynomial refinement of the Capparelli's identities. Using a special case of Bailey's lemma we prove many infinite families of sum-product identities that root from our finite analogues of Capparelli's identities. We also discuss the q ↦ 1 / q duality transformation of...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Berkovich, Alexander [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: In silico drug repurposing in COVID-19: A network-based analysis - Sibilio, Pasquale ELSEVIER, 2021, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:506 ; year:2022 ; number:2 ; day:15 ; month:02 ; pages:0 |
| Links: |
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| DOI / URN: |
10.1016/j.jmaa.2021.125678 |
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ELV055617379 |
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| 520 | |a We prove a new polynomial refinement of the Capparelli's identities. Using a special case of Bailey's lemma we prove many infinite families of sum-product identities that root from our finite analogues of Capparelli's identities. We also discuss the q ↦ 1 / q duality transformation of the base identities and some related partition theoretic relations. | ||
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We prove a new polynomial refinement of the Capparelli's identities. Using a special case of Bailey's lemma we prove many infinite families of sum-product identities that root from our finite analogues of Capparelli's identities. We also discuss the q ↦ 1 / q duality transformation of the base identities and some related partition theoretic relations. |
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We prove a new polynomial refinement of the Capparelli's identities. Using a special case of Bailey's lemma we prove many infinite families of sum-product identities that root from our finite analogues of Capparelli's identities. We also discuss the q ↦ 1 / q duality transformation of the base identities and some related partition theoretic relations. |
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We prove a new polynomial refinement of the Capparelli's identities. Using a special case of Bailey's lemma we prove many infinite families of sum-product identities that root from our finite analogues of Capparelli's identities. We also discuss the q ↦ 1 / q duality transformation of the base identities and some related partition theoretic relations. |
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