Algebraic automatic continued fractions in characteristic 2 II

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 P; and its sum, the Thue-Morse sequence, belongs to the second family G. The family G contains all the iterated sums of sequences from the P and more.

0

Turn this paper into a lesson

ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.

Discussion (0)

Sign in to join the discussion.

Loading comments…