论文标题
在最终周期序列的2个自动序列的家族中,并在F2中产生代数持续的分数((1/t))
On A Family Of 2-Automatic Sequences Derived From Ultimately Periodic Sequences And Generating Algebraic Continued Fractions In F2((1/T))
论文作者
论文摘要
通过在有限字母上替换F_2 [t]中多项式的字母,可以将其视为f_2(((1/t))中持续分数的部分标准的序列。这里描述了一个无限单词的家族,与f_2(t)相对的持续分数对应。这个家庭包括一个已经在Y. Hu的不同作品中研究的经典示例。 Han,Y。Bugeaud和本说明的作者。
By replacing the letters to polynomials in F_2[t], an infinite word, over a finite alphabet, can be seen as the sequence of partial quotients of a continued fraction in F_2((1/t)). Here is described a family of such infinite words, corresponding to continued fractions which are algebraic over F_2(t). This family includes a classical example already studied in different previous works by Y. Hu, G-N. Han, Y. Bugeaud and the author of this note.