The Thue–Morse continued fractions in characteristic 2 are algebraic
Résumé
Let a, b be distinct, non-constant polynomials in F2[z]. Let ξ a,b be the power series in F2((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.
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