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In this paper we prove several new parity results for broken k-diamond partitions introduced in 2007 by Andrews and Paule. In the process, we also prove numerous congruence properties for (2k + 1)-core partitions. The proof technique involves a general lemma on congruences which is based on modular forms.doi:10.4064/aa146-1-4 fatcat:5bbtazkwyfcc3ikutk7nkqgzku