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On a Weighted Spin of the Lebesgue Identity

  • Ali Kemal UncuEmail author
Conference paper
  • 32 Downloads
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11989)

Abstract

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.

Keywords

Lebesgue identity Generalized Lebesgue identities Heine transformation Weighted partition identities 

Notes

Acknowledgement

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.

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Austrian Academy of Sciences, Johann Radon Institute for Computational and Applied MathematicsLinzAustria

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