Artículos de revistas
New Two-Line Arrays Representing Partitions
Registro en:
Annals Of Combinatorics. Birkhauser Verlag Ag, v. 15, n. 2, n. 341, n. 354, 2011.
0218-0006
WOS:000292037900011
10.1007/s00026-011-0099-0
Autor
Santos, JPO
Mondek, P
Ribeiro, AC
Institución
Resumen
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. 15 2 341 354