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A Cantor set type result in the field of formal Laurent series

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 $\geq 2$.

preprint2014arXivOpen access
Steffen Højris Pedersen
math.NT
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Steffen Højris Pedersen

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