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A. K. Agarwal, “Rogers-Ramanujan Identities for n- Color Partitions,” Journal of Number Theory, Vol. 28, No. 3, 1988, pp. 299-305. doi:10.1016/0022-314X(88)90045-5

has been cited by the following article:

• TITLE: Lattice Paths and Rogers Identities

  AUTHORS: Ashok Kumar Agarwal, Megha Goyal

  KEYWORDS: Lattice Paths, Colored Partitions, Generating Functions, Combinatorial Interpretations

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.1 No.2, July 18, 2011

  ABSTRACT: Recently we interpreted five q-series identities of Rogers combinatorially by using partitions with “n +t cop-ies of n” of Agarwal and Andrews (J. Combin. Theory Ser.A, 45(1987), No.1, 40-49). In this paper we use lattice paths of Agarwal and Bressoud (Pacific J. Math. 136(2) (1989), 209-228) to provide new combinatorial interpretations of the same identities. This results in five new 3-way combinatorial identities.