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    • On an Extension of a Combinatorial Identity

      M Rana A K Agarwal

      Volume 119 Issue 1 February 2009 pp 1-7

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/119/01/0001-0007

    • Keywords

       

      𝑛-Color partitions; lattice paths; Frobenius partitions; Göllnitz–Gordon identities; combinatorial interpretations.

    • Abstract

       

      Using Frobenius partitions we extend the main results of [4]. This leads to an infinite family of 4-way combinatorial identities. In some particular cases we get even 5-way combinatorial identities which give us four new combinatorial versions of Göllnitz–Gordon identities.

    • Author Affiliations

       

      M Rana1 A K Agarwal1

      1. Center for Advanced Study in Mathematics, Panjab University, Chandigarh 160 014, India

    • Dates

       
      Published
      February 2009
      Manuscript received
      22 August 2007

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