New polynomial analogues of Jacobi's triple product and Lebesgue's identities

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In a recent paper by the authors, a bounded version of Goellnitz's (big) partition theorem was established. Here we show among other things how this theorem leads to nontrivial new polynomial analogues of certain fundamental identities of Jacobi and Lebesgue. We also derive a two parameter extension of Jacobi's famous triple product identity.
19 pages

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Combinatorics, Number Theory, Quantum Algebra, 05A19, 05A30, 11P82, 33D15

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http://salesiana.dossiersoluciones.com/handle/123456789/63533

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0203094
 http://arxiv.org/abs/math/0203094

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arXiv