An involution for the Gauss identity

نویسندگان

  • William Y. C. Chen
  • Qing-Hu Hou
  • Alain Lascoux
چکیده

Abstract. We present an involution for a classical identity on the alternate sum of the Gauss coefficients in terms of the traditional Ferrers diagram. It turns out that the refinement of our involution with restrictions on the height of Ferrers diagram implies a generalization of the Gauss identity, which is a terminating form of the q-Kummer identity. Furthermore, we extend the Gauss identity to the p-th root of unity.

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عنوان ژورنال:
  • J. Comb. Theory, Ser. A

دوره 102  شماره 

صفحات  -

تاریخ انتشار 2003