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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 1

On Mahler’sS-numbers,T-numbers, andU-numbers

Gülcan KEKEÇ
Pages
45–55
Publication Date
2022-10-18
DOI
—
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⚡ TL;DR(Too Long; Didn't Read)

Then we consider these series for certain Liouville numberarguments and obtain similar results.

📌 3 Key Takeaways

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Objective & Hypothesis:In this work, we consider some power series with algebraic coefficients from a certainalgebraic number field, whose radiuses of convergence are infinite.
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Key Findings & Data:We show that undercertain conditions these series take transcendental values at non-zero algebraic numberarguments, and we determine the classes to which these transcendental values belongin Mahler’s classification.
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Conclusion & Impact:Then we consider these series for certain Liouville numberarguments and obtain similar results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this work, we consider some power series with algebraic coefficients from a certainalgebraic number field, whose radiuses of convergence are infinite. We show that undercertain conditions these series take transcendental values at non-zero algebraic numberarguments, and we determine the classes to which these transcendental values belongin Mahler’s classification. Then we consider these series for certain Liouville numberarguments and obtain similar results.

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Cite This Article

KEKEÇ, G. (2022). On Mahler’sS-numbers,T-numbers, andU-numbers. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 1, 45–55. https://ajindex.com/articles/529584

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References (1)

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