The minimal excludant, or “mex” function, on a set S of positive integers is the least positive integer not in S. In this paper, the mex function is extended to integer partitionsgeneralizedbyconstrictingtheuniversalsetfromallpositiveintegerstothose in certain arithmetic progressions. There are numerous surprising partition identities connected with this restricted mex function. This paper provides an account of some of the most conspicuous cases.
|Original language||English (US)|
|Journal||Journal of Integer Sequences|
|State||Published - 2020|
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics