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

Steffen Højris Pedersen

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arXiv · 1409.0352

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

Steffen Højris Pedersen

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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 $\geq 2$.

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Steffen Højris Pedersen. 2014-09-01. A Cantor set type result in the field of formal Laurent series. https://arxiv.org/abs/1409.0352

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