Warnaar's bijection and colored partition identities, II

Abstract

In our previous paper, we determined a unified combinatorial framework to look at a large number of colored partition identities, and studied the five identities corresponding to the exceptional modular equations of prime degree of the Schroeter, Russell and Ramanujan type. The goal of this paper is to use the master bijection of our previous work to show combinatorially several new and highly nontrivial colored partition identities. We conclude by listing a number of further interesting identities of the same type as conjectures.

Contains the second portion of the first author's MIT senior thesis (2011). Some minor revisions with respect to the previous version. 34 pages. To appear in the Ramanujan Journal