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arXiv · 2301.09958

Algebraic automatic continued fractions in characteristic $2$ II

Yining Hu
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Abstract

We present two families of automatic sequences that define algebraic continued fractions in characteristic $2$. The period-doubling sequence belongs to the first first family $\mathcal{P}$; and its sum, the Thue-Morse sequence, belongs to the second family $\mathcal{G}$. The family $\mathcal{G}$ contains all the iterated sums of sequences from the $\mathcal{P}$ and more.

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Yining Hu. 2023-01-24. Algebraic automatic continued fractions in characteristic $2$ II. https://arxiv.org/abs/2301.09958

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