Parity Considerations for Mex-Related Partition Functions of Andrews and Newman [article]

Robson da Silva, James A. Sellers
2020 arXiv   pre-print
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