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The dual of Göllnitz’s (big) partition theorem

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Abstract

We present a new companion to the deep partition theorem of Göllnitz and discuss it in the context of a generalization of Göllnitz’s theorem by Alladi–Andrews–Gordon that was obtained by the method of weighted words. After providing a q-theoretic proof of the new companion theorem, we discuss its analytic representation and its link to the key identity of Alladi–Andrews–Gordon.

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Authors and Affiliations

  1. University of Florida, Gainesville, FL, 32611, USA

    Krishnaswami Alladi

  2. The Pennsylvania State University, University Park, PA , 16802, USA

    George E. Andrews

Authors
  1. Krishnaswami Alladi
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  2. George E. Andrews
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Correspondence to Krishnaswami Alladi.

Additional information

Dedicated to the memory of Basil Gordon.

Research of both authors supported by grants from the National Security Agency.

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Alladi, K., Andrews, G.E. The dual of Göllnitz’s (big) partition theorem. Ramanujan J 36, 171–201 (2015). https://doi.org/10.1007/s11139-014-9617-0

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  • DOI: https://doi.org/10.1007/s11139-014-9617-0

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