The gaussian coefficients and overpartitions

William Y. C. Chen and James J. Y. Zhao

  Abstract:   We show that the formalism of overpartitions gives a simple involution for the product de nition of the Gaussian coefficients. In the formulation of our involution, an overline in the representation of an overpartition is en- dowed with a weight.

  AMS Classification:  05A17, 05A30.

  Suggested Running Title:   Gaussian Coefficients and Overpartitions. 

  Keywords:
  Gaussian coefficient, overpartition, involution.

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