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Bressoud polynomials, Rogers–Ramanujan type identities, and applications

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Abstract

In his paper providing an easy proof of the Rogers–Ramanujan identities, D. Bressoud extended his work to multiple series identities. Intrinsic in his works are polynomials with diverse applications to several aspects of \(q\)-series. This paper provides an initial exploration of these polynomials.

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Authors and Affiliations

  1. The Pennsylvania State University, University Park, State College, PA, 16802, USA

    George E. Andrews

Authors
  1. George E. Andrews
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Correspondence to George E. Andrews.

Additional information

In memory of a wonderful mathematician, my friend Marvin Knopp

This study was partially supported by National Security Agency Grant: H98230-12-1-0205.

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Andrews, G.E. Bressoud polynomials, Rogers–Ramanujan type identities, and applications. Ramanujan J 41, 287–304 (2016). https://doi.org/10.1007/s11139-014-9661-9

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  • DOI: https://doi.org/10.1007/s11139-014-9661-9

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