Abstract
In this paper, our goal is to significantly extend the list of proven arithmetic properties satisfied by the function that enumerates cubic partitions which are also 3-cores, namely \(C_3(n),\) which was studied extensively by Gireesh in 2017. Our proof techniques are elementary, including classical generating function manipulations and dissections.
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The first author was supported by São Paulo Research Foundation (FAPESP) (grant no. 2019/14796-8).
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da Silva, R., Sellers, J.A. Congruences for 3-core cubic partitions. Indian J Pure Appl Math 54, 404–420 (2023). https://doi.org/10.1007/s13226-022-00262-5
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DOI: https://doi.org/10.1007/s13226-022-00262-5