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Mahler coefficients of uniformly differentiable functions modulo p

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In this work, we provide a complete description of Mahler coefficients of uniformly differentiable functions modulo [Formula: see text]. The main techniques are related to properties of van der Put… Click to show full abstract

In this work, we provide a complete description of Mahler coefficients of uniformly differentiable functions modulo [Formula: see text]. The main techniques are related to properties of van der Put coefficients of specific classes of functions, such as [Formula: see text]-Lipschitz measure-preserving functions and uniformly differentiable functions modulo [Formula: see text]. The relation tying Mahler coefficients and van der Put coefficients is also an important tool in the proof of the main results.

Keywords: differentiable functions; functions modulo; coefficients uniformly; uniformly differentiable; mahler coefficients

Journal Title: International Journal of Number Theory
Year Published: 2020

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