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Type: Artigo de periódico
Title: New Two-Line Arrays Representing Partitions
Author: Santos, JPO
Mondek, P
Ribeiro, AC
Abstract: We present combinatorial interpretations for sums into two parameters from which we have, as special cases, combinatorial interpretations for many identities of Slater's list including Rogers-Ramanujan identities, unrestricted partitions, and Lebesgue's partition identity. In this work we are representing a number as a vector and providing representation of this vector as a sum of vectors. It is possible to write this representation as a two-line matrix which can be interpreted as lattice paths. We provide three distinct representations for unrestricted partitions. One of them has the property of giving a complete description for the conjugate partition.
Subject: partitions
Rogers-Ramanujan identities
Country: Suíça
Editor: Birkhauser Verlag Ag
Rights: fechado
Identifier DOI: 10.1007/s00026-011-0099-0
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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