Abstract
We prove a Khintchine type theorem for approximation of elements in the Cantor set, as a subset of the formal Laurent series over $\mathbb{F}_3$, by rational functions of a specific type. Furthermore we construct elements in the Cantor set with any prescribed irrationality exponent $\geq 2$.
Citation
Steffen H. Pedersen. "A Cantor set type result in the field of formal Laurent series." Funct. Approx. Comment. Math. 53 (1) 7 - 21, September 2015. https://doi.org/10.7169/facm/2015.53.1.1
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