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math.CO2025
Transposes in the -deformed modular group and their applications to -deformed rational numbers
Xin Ren, Kohji Yanagawa
The (right) -deformed rational numbers was introduced by Morier-Genoud and Ovsienko, and its left variant, whose numerators and denominators are essentially the normalized Jones…
math.CO2024
Arithmetic on -deformed rational numbers
Takeyoshi Kogiso, Kengo Miyamoto, Xin Ren +2
Recently, Morier-Genoud and Ovsienko introduced a -deformation of rational numbers. More precisely, for an irreducible fraction , they constructed coprime polynomia…