4 search results - page 1 / 1 » A combinatorial proof of the Rogers-Ramanujan and Schur iden... |
JCT
2006
13 years 4 months ago
2006
We give a combinatorial proof of the first Rogers-Ramanujan identity by using two symmetries of a new generalization of Dyson's rank. These symmetries are established by direc...
JCT
2011
12 years 11 months ago
2011
We present a method for proving q-series identities by combinatorial telescoping in the sense that one can transform a bijection or classification of combinatorial objects into a ...
JCT
2007
13 years 4 months ago
2007
We define the notions of successive ranks and generalized Durfee squares for overpartitions. We show how these combinatorial statistics give extensions to overpartitions of combin...
JCT
2011
12 years 11 months ago
2011
Our recent paper [5] provides extensions to two classical determinantal results of Bressoud and Wei, and of Koike. The proofs in that paper were algebraic. The present paper conta...