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math.CO2002
A limiting form of the q-Dixon_4ϕ_3 summation and related partition identities
Krishnaswami Alladi, Alexander Berkovich
By considering a limiting form of the q-Dixon_4ϕ_3 summation, we prove a weighted partition theorem involving odd parts differing by >= 4. A two parameter refinement of this theore…
math.CO2002
New polynomial analogues of Jacobi's triple product and Lebesgue's identities
Krishnaswami Alladi, Alexander Berkovich
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…