论文标题
关于thue-morse的代数和周期倍增的持续分数
On the algebraicity of Thue-Morse and period-doubling continued fractions
论文作者
论文摘要
我们提出了几个有关持续分数的代数或超越性的一般猜想，而stieltjes的持续分数由特征性$ 2 $的thue-morse和周期倍序序列定义。我们介绍了我们的猜测方法，其中利用了自动机的结构，以证明我们在特殊情况下的一些猜想。
We put forward several general conjectures concerning the algebraicity or transcendence of continued fractions and Stieltjes continued fractions defined by the Thue-Morse and period-doubling sequences in characteristic $2$. We present our Guess'n'Prove method, in which we exploit the structure of automata, for proving some of our conjectures in special cases.
