2 problems

Let $Y_{n,m}(t)$ be the sequence of functions used to generate the approximations, and define … The roots generated by this sequence are the zeros $y_n$ of the corresponding functi…

Let $g$ be a polynomial of degree $d\geq 2$ with coefficients in a number field $K$, and let $y_0\in K$. Define the Newton map … and, for each $n\geq 0$, set $y_{n+1}=N(y_n)$. Assu…