On A Family Of 2-Automatic Sequences Derived From Ultimately Periodic Sequences And Generating Algebraic Continued Fractions In F2((1/T))

Autor:	Lasjaunias, Alain
Rok vydání:	2022
Předmět:	Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2212.00516 Zobrazit plný text záznamu View this record from Arxiv