Convergents as approximants in continued fraction expansions of complex numbers with Eisenstein integers

S. G. Dani

Let $\mathfrak{E}$ denote be the ring of Eisenstein integers. Let $z\in \mathbb{C}$ and $p_n,q_n\in \mathfrak{E}$ be such that $\{p_n/q_n\}$ is the sequence of convergents corresponding to t…