2 problems

Let $n$ be a positive integer and let $a,b\in\mathbb{C}$ satisfy $|a|\neq 1$. Set $h(z,w)=z^n+aw^n+b$ and $h^{\ast}$ for the polynomial obtained by conjugating the coefficients and…

Let $p\in\mathbb{Z}^+$, define $p^*=p\mod 9$, and let $n_0(p)$ denote the first value of $n$ for which the two additional solutions in the paper's theorem occur. Threshold formula…