1. Instituto de Matemática, UFRGS C.P. 15080, 90509-900, Porto Alegre, RS, Brazil 2. IMECC-UNICAMP, C.P. 6065, 13084-970, Campinas, SP, Brazil 3. ICE-UNIFEI, C.P. 50, 37500-903, Itajubá, MG, Brazil
Abstract:
In this paper, we present bijective proofs of several identities involving partitions by making use of a new way for representing partitions as two-line matrices. We also apply these ideas to give a combinatorial proof for an identity related to three-quadrant Ferrers graphs.