On simultaneous approximation of the values of certain Mahler functions
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🧮 math.NT
keywords
approximationsfunctionsapproximationcertainmahlersequencesimultaneousvalues
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In this paper, we estimate the simultaneous approximation exponents of the values of certain Mahler functions. For this we construct Hermite-Pad\'{e} approximations of the functions under consideration, then apply the functional equations to get an infinite sequence of approximations and use the numerical approximations obtained from this sequence.
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