On a Weighted Spin of the Lebesgue Identity
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Alladi studied partition theoretic implications of a two variable generalization of the Lebesgue identity. In this short note, we focus on a slight variation of the basic hypergeometric sum that Alladi studied. We present two new partition identities involving weights.
KeywordsLebesgue identity Generalized Lebesgue identities Heine transformation Weighted partition identities
The author would like to thank the SFB50-07, SFB50-09 and SFB50-11 Projects of the Austrian Science Fund FWF for supporting his research.