Co-primeness conjecture for odd higher-dimensional q-discrete Painlevé II equations
Let k=2m+1≥7k=2m+1\geq 7k=2m+1≥7 be odd, and define rational functions yn∈Q(y0,…,y2m−3,α,β,γ)y_n\in\mathbb{Q}(y_0,\dots,y_{2m-3},\alpha,\beta,\gamma)yn∈Q(y0,…,y2m−3,α,β,γ) by the difference equation specified in the source. Odd-dimensio…