Yubin He

most citedSets of Exact Approximation Order by Complex rational numbers

8 citations · 15 across the 2 of their papers we have counts for

collaborators

2 papers

math.NT2021★ 8 cited

Sets of Exact Approximation Order by Complex rational numbers

Yubin He, Ying Xiong

For a nonincreasing function $ψ$ , let $Exact (ψ)$ be the set of complex numbers that are approximable by complex rational numbers to order $ψ$ but to no better order. In th…

math.NT2021★ 7 cited

The difference between the Hurwitz continued fraction expansions of a complex number and its rational approximations

Yubin He, Ying Xiong

For regular continued fraction, if a real number $x$ and its rational approximation $p / q$ satisfying $∣ x - p / q ∣ < 1/ q^{2}$ , then, after deleting the last integer of the partial quotients…