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

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

2002-03-11

arxiv.org/abs/math/0203094v1

Mathematics

Combinatorics

19 pages

Scientific paper

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.

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