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

Published 1 Sep 2014 in math.NT | (1409.0352v1)

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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Authors (1)

Steffen Højris Pedersen

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