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    • On weighted signed color partitions

      V GUPTA M RANA S SHARMA

      Research Article Volume 130 Published: 10 January 2020 Article ID 0010

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/130/0010

    • Keywords

       

      $(n + t)$-color partitions; signed partitions; combinatorial interpretation; Rogers–Ramanujan type identities

    • Abstract

       

      In this paper, we provide combinatorial interpretations of certain provedRogers–Ramanujan type identities using signed color partitions with attached weights. The approach of using the signed color partitions is interesting since negative exponents do not make an explicit appearance in these identities.

    • Author Affiliations

       

      V GUPTA1 M RANA1 S SHARMA1

      1. School of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147 004, India

    • Dates

       
      Published
      10 January 2020
      Manuscript received
      30 May 2019
      Manuscript revised
      22 August 2019
      Accepted
      8 September 2019
      Early published
      Unedited version published online
      Final version published online
      9 January 2020

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