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math.QA2021
On radius of convergence of -deformed real numbers
Ludivine Leclere, Sophie Morier-Genoud, Valentin Ovsienko +1
We study analytic properties of ``-deformed real numbers'', a notion recently introduced by two of us. A -deformed positive real number is a power series with integer coeffic…
math.NT2021
-deformations of the modular group and of the real quadratic irrational numbers
Ludivine Leclere, Sophie Morier-Genoud
We develop further the theory of -deformations of real numbers introduced by Morier-Genoud and Ovsienko, and focus in particular on the class of real quadratic irrationals. Our…