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

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

Gülcan KEKEÇ
Sayfa
45–55
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:Then we consider these series for certain Liouville numberarguments and obtain similar results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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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Bu Makaleye Atıf Yap

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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