Simple generators of rational function fields
F~ݝ�(x0,…,xn,u)≔F^(x0u+σ0,…,xnu+σn),A~ݝ�(x0,…,xn,u)≔A^(x0u+σ0,…,xnu+σn)≔A~0+A~1u+…+A~dAudA,B~ݝ�(x0,…,xn,u)≔B^(x0u+σ0,…,xnu+σn)≔B~0+B~1u+…+B~dBudB,\begin{array}{l}\tilde{F}_{\bm{\sigma}}(x_{0},\ldots,x_{n},u)\coloneqq\hat{F}(x_{0}u+\sigma_{0},\ldots,x_{n}u+\sigma_{n...
