论文标题
thue-morse持续的特征分数$ 2 $是代数
The Thue-Morse continued fractions in characteristic $2$ are algebraic
论文作者
论文摘要
令$ a，b $是独特的，非恒定多项式为$ {\ mathbb f} _2 [z] $。令$ {\ Mathbb f} _2（（（z^{ - 1}））$的$ {\ mathbb f}中的power系列，让$ {a，b}）$是$ \ {a，b \ \} $。我们确定$ξ_{a，b} $是$ 4 $的代数。
Let $a, b$ be distinct, non-constant polynomials in ${\mathbb F}_2 [z]$. Let $ξ_{a, b}$ be the power series in ${\mathbb F}_2((z^{-1}))$ whose sequence of partial quotients is the Thue-Morse sequence over $\{a, b\}$. We establish that $ξ_{a,b}$ is algebraic of degree $4$.
