Abstract
Combinatorial interpretations of the Rogers–Ramanujan identities are provided in terms of n–color partitions. Further interpretations in terms of ordinary partitions are obtained by using bijective maps. These results lead to the interpretations of two fifth order mock theta functions by attaching weights.
Publisher
Informatics Publishing Limited
Reference8 articles.
1. A. K. Agarwal, Rogers-Ramanujan identities for n–color partitions, J. Number Theory, 28(3) (1988), 299–305.
2. A.K. Agarwal, Lattice paths and n–color partitions, Util. Math., 53 (1998), 71–80.
3. A. K. Agarwal and G. E. Andrews, Rogers-Ramanujan identities for partitions with “N copies of N”, J. Combin. Theory Ser. A, 45(1) (1987), 40–49.
4. A.K. Agarwal and M. Rana, New combinatorial versions of G¨ollnitz–Gordon identities, Util. Math., 79 (2009), 145–155.
5. K. Alladi, Partition identities involving gaps and weights, Trans. Amer. Math. Soc., 349(12) (1997), 5001–5019.