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

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

Gülcan KEKEÇ
Sayfa
45–55
Yayın Tarihi
2020-02-06
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this work, we consider some power series with algebraic coefficients from a certain algebraic number field, whose radiuses of convergence are infinite.
📊
Temel Bulgular & Veri:We show that under certain conditions these series take transcendental values at non-zero algebraic number arguments, and we determine the classes to which these transcendental values belong in Mahler's classification.
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Sonuç & Katkı:Then we consider these series for certain Liouville number arguments and obtain similar results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Mahler’s classification of the transcendental numbers · Mahler’s S−number · Mahler’s T−number

Abstract

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

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Bu Makaleye Atıf Yap

KEKEÇ, G. (2020). On Mahler’s S-numbers, T-numbers, and U-numbers. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 1, 45–55. https://ajindex.com/articles/669292

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Kaynakça (15)

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