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math.NT2023
Arithmetical independence of certain uniform sets of algebraic integers
Asaki Saito, Jun-ichi Tamura, Shin-ichi Yasutomi
We study four (families of) sets of algebraic integers of degree less than or equal to three. Apart from being simply defined, we show that they share two distinctive characteristi…
math.DS2023
Critical curves of rotations
John A G Roberts, Asaki Saito, Franco Vivaldi
In rotations with a binary symbolic dynamics, a critical curve is the locus of parameters for which the boundaries of the partition that defines the symbolic dynamics are connected…