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math.NT2022
Period-doubling Continued Fractions are Algebraic in Characteristic
Yining Hu, Alain Lasjaunias
Considering an arbitrary pair of distinct and non constant polynomials, and in , we build a continued fraction in whose partial quoti…
math.NT2020
On the algebraicity of Thue-Morse and period-doubling continued fractions
Yining Hu, Guoniu Wei-Han
We put forward several general conjectures concerning the algebraicity or transcendence of continued fractions and Stieltjes continued fractions defined by the Thue-Morse and perio…