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In a recent paper, Andrews and Newman extended the mex-function to integer partitions and proved many partition identities connected with these functions. In this paper, we present parity considerations of one of the families of functions they studied, namely p_t,t(n). Among our results, we provide complete parity characterizations of p_1,1(n) and p_3,3(n).arXiv:2004.02292v1 fatcat:zqp4xjtolnaohn27dc2ejtkrui