A Proof of McLeod's 1959 Conjecture on Complete Homogeneous Symmetric Ratios

Suvrit Sra

We prove McLeod's (1959) conjecture that $(h_{\ell +r}/h_{\ell }{)}^{1/r}$ is subadditive for all $\ell \ge 0$ and $r\ge 1$, where $h_k$ is the complete homogeneous symmetric polynomial of…