Sets of exact approximation order by complex rational numbers

Exact Diophantine approximation of real numbers by $ \beta $-expansions

“…denotes the lower order at infinity of the function Ψ −1 . The high dimensional case and the case for approximation in the complex number field were considered by Bandi and de Saxcé [2] and He and Xiong [11], respectively. A general framework for exact approximation was introduced by Bandi, Ghosh, and Nandi [1] by introducing the notion of a well-distributed set.…”