Warnaar's bijection and colored partition identities, II

Details Warnaar's bijection and colored partition identities, II Warnaar's bijection and colored partition identities, II

2012-02-04

arxiv.org/abs/1202.0907v1

Mathematics

Combinatorics

Contains the second portion of the first author's MIT senior thesis (2011). The previous version has now become a two-paper se

Scientific paper

In our previous paper, we determined a unified combinatorial framework in which 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 work is to use the master bijection of the previous paper 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.

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