Article citationsMore>>

A. K. Agarwal, “New Classes of Infinite 3-Way Partition Identities,” ARS Combinatoria, Vol. 44, 1996, pp. 33-54.

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.