9
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Proofs and Reductions of Kanade and Russell's partition identities

      Preprint
      , ,

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          We prove seven of the Rogers-Ramanujan type identities modulo \(12\) that were conjectured by Kanade and Russell. Included among these seven are the two original modulo \(12\) identities, in which the products have asymmetric congruence conditions, as well as the three symmetric identities related to the principally specialized characters of certain level \(2\) modules of \(A_9^{(2)}\). We also give reductions of four other conjectures in terms of single-sum basic hypergeometric series.

          Related collections

          Most cited references11

          • Record: found
          • Abstract: not found
          • Article: not found

          Further Identities of the Rogers-Ramanujan Type

          L. Slater (1952)
            Bookmark
            • Record: found
            • Abstract: not found
            • Article: not found

            The structure of standard modules, I: Universal algebras and the Rogers-Ramanujan identities

              Bookmark
              • Record: found
              • Abstract: not found
              • Article: not found

              A Combinatorial Generalization of the Rogers-Ramanujan Identities

                Bookmark

                Author and article information

                Journal
                17 September 2018
                Article
                1809.06089
                1c8a1f3b-4651-4feb-ad69-ec3e0dfb886d

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                math.NT math.CO

                Combinatorics,Number theory
                Combinatorics, Number theory

                Comments

                Comment on this article