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 pt,t(n). Among our results, we provide complete parity characterizations of p1,1(n) and p3,3(n).
|Original language||English (US)|
|Number of pages||9|
|Journal||Journal of Integer Sequences|
|State||Published - 2020|
Bibliographical noteFunding Information:
The first author was supported by FAPESP (grant no.
The first author was supported by FAPESP (grant no. 2019/14796-8).