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

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

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...

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Bibliographic Details
Main Authors: Bugeaud Yann, Kekeç Gülcan
Format: Article
Language:English
Published: Sciendo 2020-03-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Subjects:
mahler’s classification of p-adic numbers
p-adic s-number
p-adic t -number
p-adic u-number
transcendence measure
primary 11j61
secondary 11j82
Online Access:https://doi.org/10.2478/auom-2020-0005

Internet

https://doi.org/10.2478/auom-2020-0005

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