A Bijective Proof of a Generalization of the Non-Negative Crank-Odd Mex Identity
A Bijective Proof of a Generalization of the Non-Negative Crank-Odd Mex Identity
Recent works of Andrews–Newman, and Hopkins–Sellers unveil an interesting relation between two partition statistics, the crank and the mex. They state that, for a positive integer $n$, there are as many partitions of $n$ with non-negative crank as partitions of n with odd mex. In this paper, we give a …