Partial-sum analogues of the Rogers-Ramanujan identities

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A new type of polynomial analogue of the Rogers-Ramanujan identities is proven. Here the product-side of the Rogers-Ramanujan identities is replaced by a partial theta sum and the sum-side by a weighted sum over Schur polynomials.
15 pages, AMS-LaTeX

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Combinatorics, Quantum Algebra, Primary 05A19, 33D15; Secondary 05A17, 17B68

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http://salesiana.dossiersoluciones.com/handle/123456789/62095

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0108193
 http://arxiv.org/abs/math/0108193
 J. Combin. Theory Ser. A 99 (2002), 143--161

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arXiv