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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 5

On the values of some generalized lacunary power series wıth algebraic coefficients for Liouville number arguments

Gülcan KEKEÇ
Sayfa
691–702
Yayın Tarihi
2022-10-18
DOI
—
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In this work, it is shown that under certain conditions, the values of some generalized lacunary power series with algebraic coefficients from a certain algebraic number field K of degree m for Liouville number arguments belong to either the algebraic number field K or$U^m{_i=1}{U_i}$ Mahler’s classification of the complex numbers.

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Amaç & Hipotez:In this work, it is shown that under certain conditions, the values of some generalized lacunary power series with algebraic coefficients from a certain algebraic number field K of degree m for Liouville number arguments belong to either the algebraic number field K or$U^m{_i=1}{U_i}$ Mahler’s classification of the complex numbers.
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Temel Bulgular & Veri:In this work, it is shown that under certain conditions, the values of some generalized lacunary power series with algebraic coefficients from a certain algebraic number field K of degree m for Liouville number arguments belong to either the algebraic number field K or$U^m{_i=1}{U_i}$ Mahler’s classification of the complex numbers.
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Sonuç & Katkı:In this work, it is shown that under certain conditions, the values of some generalized lacunary power series with algebraic coefficients from a certain algebraic number field K of degree m for Liouville number arguments belong to either the algebraic number field K or$U^m{_i=1}{U_i}$ Mahler’s classification of the complex numbers.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this work, it is shown that under certain conditions, the values of some generalized lacunary power series with algebraic coefficients from a certain algebraic number field K of degree m for Liouville number arguments belong to either the algebraic number field K or$U^m{_i=1}{U_i}$ Mahler’s classification of the complex numbers.

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Bu Makaleye Atıf Yap

KEKEÇ, G. (2022). On the values of some generalized lacunary power series wıth algebraic coefficients for Liouville number arguments. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 5, 691–702. https://ajindex.com/articles/530568

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Kaynakça (14)

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  14. Zeren, B.M. ¨Uber die Natur der Transzendenz der Werte einer Art verallgemeinerter Lückenreihen mit algebraischen Koeffizienten für algebraische Argumente, İstanbul Tek. Üniv.Bül. 41, 569–588, 1988.