16 pages. Unpublished

Dominique Foata and Guo Niu Han

Jacobi and Watson Identities Combinatorially Revisited

Abstract. The two forms of the Jacobi triple product identity are reproved in a combinatorial way. This illustrates the fact that each partition can be given a k-Frobenius symbol for each integer k, positive or negative. The Watson quintuple product identity is derived by means of a straightforward "manipulatorics".

foata@math.u-strasbg.fr, guoniu@math.u-strasbg.fr

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