2 problems

Let $\varphi=\frac{1+\sqrt{5}}{2}$ be the golden ratio, and let $\langle\varphi\rangle=\{k\varphi:k\in\mathbb{Z}\}$ be the subgroup of $\mathbb{C}$ generated by $\varphi$. An irred…

Let $\mathbb{K}$ be a finite field of characteristic $2$, let $\operatorname{card}(\mathbb{K})$ denote its cardinality, and let $\ell_{\mathbb{K}}$ denote the invariant defined in…