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

  AMS Classification:  05A17, 05A30

  Suggested Running Title:   Gaussian Coefficients and Overpartitions

  Keywords:   Gaussian coefficient, overpartition, involution

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