On radius of convergence of q-deformed real numbers

We study analytic properties of “q-deformed real numbers”, a notion recently introduced by two of us. A q-deformed positive real number is a power series with integer coefficients in one formal variable q. We study the radius of convergence of these power series assuming that q is a complex variable...

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Bibliographic Details
Main Authors: Ludivine Leclere, Sophie Morier-Genoud, Valentin Ovsienko, Alexander Veselov
Format: Default Article
Published: 2024
Subjects:
Pure mathematics
q -deformations
modular group
radius of convergence
Online Access:https://hdl.handle.net/2134/25340665.v1
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