On Mahler’s p-adic S-, T -, and U-numbers

Bugeaud, Yann; Kekeç, Gülcan

doi:10.2478/auom-2020-0005

Abstract

We consider some lacunary power series with rational coefficients in 𝕈p. We show that under certain conditions these series take transcendental values at non-zero rational number arguments, and we determine the classes of these transcendental values with respect to Mahler’s classification of p-adic numbers.

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On Mahler’s p-adic S-, T -, and U-numbers

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