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Refinements of the Rogers-Ramanujan identities

Combinatorics 2014-10-22 v1

Abstract

Refinements of the classical Rogers-Ramanujan identities are given in which some parts are weighted. Combinatorial interpretations refining MacMahon's results are corollaries.

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Cite

@article{arxiv.1410.5803,
  title  = {Refinements of the Rogers-Ramanujan identities},
  author = {Kathleen O'Hara and Dennis Stanton},
  journal= {arXiv preprint arXiv:1410.5803},
  year   = {2014}
}

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16 pages