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New generalization of cubic partition of n


Abstract


Let c^*_{(1,r,a)}(n) be the generalization of the cubic partition function c(n). In this paper, we prove some new congruences modulo odd prime p by taking r=3,4,5,7,11 and 13 using q-series identities. We study congruence properties of generalization of cubic partition function for different values of a and give some particular cases as examples.

DOI Code: 10.1285/i15900932v42n2p7

Keywords: Partitions; k-colors; Partition Congruences

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