A proof of Bressoud's conjecture related to the Rogers-Ramanujan identities

The Rogers-Ramanujan Identities have many natural and significant generalizations. The generalization presented in this note was first studied by D. Bressoud, by considering the partitions he named as ”footed partition”. A bijection is described to prove his conjecture and some examples are attached in the end. Key Words: Rogers-Ramanujan Identities; Bijective proof; Footed partition.

• Type: Journal
• Year: 2010
• Where: EJC
• Authors: Shishuo Fu
• Keywords: EJC 2010, Information Technology, Key Words, Rogers-Ramanujan Identities, Significant Generalizations