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

Yann Bugeaud; Gülcan Kekeç

doi:10.2478/auom-2020-0005

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 28 (2020): Issue 1 (March 2020)

By: Yann Bugeaud and Gülcan Kekeç

Open Access

|Apr 2020

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.

References

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2020-0005 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 81 - 94

Submitted on: Mar 16, 2019

Accepted on: Jul 15, 2019

Published on: Apr 9, 2020

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Mahler’s classification of p-adic numbers,

p-adic S-number,

p-adic T -number,

p-adic U-number,

transcendence measure

Related subjects:

Mathematics,

General mathematics

© 2020 Yann Bugeaud, Gülcan Kekeç, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 28 (2020): Issue 1 (March 2020)