Warnaar’s bijection and colored partition identities, II
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11139_2013_Article_9465.pdf
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Author(s)
Sandon, Colin
Zanello, Fabrizio
Date Issued
July 2013
Journal
The Ramanujan Journal
Publisher
Springer US
Citation
Sandon, Colin, and Fabrizio Zanello. “Warnaar’s Bijection and Colored Partition Identities, II.” The Ramanujan Journal 33.1 (2014): 83–120.
Version
Author's final manuscript
Abstract
In our previous paper (J. Comb. Theory Ser. A 120(1):28–38, 2013), 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 Schröter, Russell, and Ramanujan type. The goal of this paper is to use the master bijection of Sandon and Zanello (J. Comb. Theory Ser. A 120(1):28–38, 2013) 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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s11139-013-9465-3
