3 papers
math.QA2026
Applications of the finite specializations of the -deformed modular group
Takuma Byakuno, Xin Ren, Kohji Yanagawa
Recently, Morier-Genoud and Ovsienko introduced the -deformed modular group. For the construction, they first gave a group $G_q \subset \operatorname{GL}(2, \mathbb{Z}[q^{\pm}])…
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…