Lattice Paths and Rogers Identities

• 作者: Ashok Kumar Agarwal Megha Goyal
• 来源期刊: 离散数学期刊(英文)
• 学科: 数学
• 关键词: Lattice PATHS COLORED PARTITIONS Generating Functions Combinatorial INTERPRETATIONS
• 年，卷（期）: 2011,（2）
• 页码范围: 89-95
• 页数: 7页
• 分类号: O1

摘要

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.