Abstract
In this paper, we discover several new identities on colored partitions and provide proofs for them. Many colored partition identities presented in the paper do not belong to the general and unified combinatorial framework provided by Sandon and Zanello. Most of our proofs depend upon new modular equations given by employing the method of reciprocation.
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Acknowledgments
The author is grateful to B. C. Berndt for encouragement and suggestion and the anonymous referees for helpful comments.
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The work was supported by the Scientific Research Foundation (XNB201503) of Northeastern University at Qinhuangdao, the Fundamental Research Funds for the Central Universities (N142303009), and the Natural Science Foundation of Hebei Province (A2015501066).
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Zhou, R.R. Some new identities for colored partition. Ramanujan J 40, 473–490 (2016). https://doi.org/10.1007/s11139-015-9699-3
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DOI: https://doi.org/10.1007/s11139-015-9699-3