Inequalities Between Ranks and Cranks
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Inequalities Between Ranks and Cranks
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| Id. |
49267218 |
| Idioma |
inglés (Estados Unidos)
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| Titulo |
Inequalities Between Ranks and Cranks |
| Autor(es) |
Bringmann, Kathrin
Mahlburg, Karl Eugene
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| Localización |
0002-9939
1088-6826
http://hdl.handle.net/1721.1/49528
Bringmann, Kathrin, and Karl Mahlburg. “Inequalities between ranks and cranks.” 137 (2009): 2567-2574.
PUBLISHER_POLICY
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| Versión |
1.0 |
| Estado |
Final
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| Descripción |
Higher moments of the partition rank and crank statistics have been studied for their connections to combinatorial objects such as Durfee symbols, as well as for their connections to harmonic Maass forms. This paper proves the first several cases of (and strengthens) a conjecture due to Garvan, which states that the moments of the crank function are always larger than the moments of the rank function. Furthermore, asymptotic estimates for these differences are also proven.
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| Tipo de recurso |
Article
http://purl.org/eprint/type/SubmittedJournalArticle
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| Tipo de Interactividad |
Expositivo
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| Nivel de Interactividad |
muy bajo
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| Audiencia |
Estudiante
Profesor
Autor
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| Estructura |
Atomic |
| Coste |
no
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| Copyright |
sí
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. |
| Requerimientos técnicos |
Browser: Any
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| Relación |
[IsBasedOn] Karl Mahlburg
[References] http://dx.doi.org/10.1090/S0002-9939-09-09806-2
[References] Proceedings of The American Mathematical Society
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| Fecha de contribución |
05-nov-2009 |
| Contacto |
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