Parity results for broken k-diamond partitions and (2k+1)-cores

Silviu Radu, James A. Sellers
2011 Acta Arithmetica  
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