The Algorithm Z and Ramanujan's 1ψ1 Summation

Sandy H.L. Chen, William Y.C. Chen, Amy M. Fu and Wenston J.T. Zang

  Abstract:  We use the Algortihm Z on partitions due to Zeilberger, in a variant form, to give a combinatorial proof of Ramanujan's 1ψ1 summation formula.

  AMS Classification:  05A10

  Keywords:  Algorithm Z, Ramanujan's 1ψ1 summation, bijection, partition

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