The Zrank Conjecture and Restricted Cauchy Matrices

Guo-Guang Yan, Arthur L. B. Yang, Joan J. Zhou

The rank of a skew partition $\lambda /\mu$, denoted $rank(\lambda /\mu )$, is the smallest number $r$ such that $\lambda /\mu$ is a disjoint union of $r$ border strips. Let $s_{\lambda /\mu }(1^t)$ denote the skew Sch…