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Generalized $k$-regular sequences II:dig...

Miyanohara, Eiji...

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Generalized $k$-regular sequences II:digital pattern and transcendence by Miyanohara, Eiji ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	04-08-2023
Summary	In this paper, we prove that an uncountable quantity of real numbers generated by digital pattern sequences gives the transcendental number. This result gives a generalization of Main theorem in Morton and Mourant [MortM], which state that countable real numbers generated by digital pattern sequences gives the transcendental number. Our method relies on the combinatorial quantitative transcendence criterion established by Adamczewski-Bugeaud [AdB2] and the properties of generalized $k$-regular sequences, which is introduced by the author [Mi2].
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1405.7124

Citation

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AMA 11th EditionReferences

Miyanohara, Eiji. Generalized $k$-regular sequences II:digital pattern and transcendence. Australian National University. August 04, 2023. Accessed August 10, 2025. https://online.provdatabase.com/cite/10960

APA 7th EditionReferences

Miyanohara, Eiji. (2023). Generalized $k$-regular sequences II:digital pattern and transcendence. Australian National University. https://online.provdatabase.com/cite/10960

Chicago 17th EditionReferences

Miyanohara, Eiji. Generalized $k$-regular sequences II:digital pattern and transcendence. Australian National University. 2023. https://online.provdatabase.com/cite/10960

HarvardReferences

Miyanohara, Eiji. (2023). Generalized $k$-regular sequences II:digital pattern and transcendence. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/10960. (Accessed 10 August 2025).

Harvard AustraliaReferences

Miyanohara, Eiji, 2023, Generalized $k$-regular sequences II:digital pattern and transcendence, Australian National University, viewed 10 August 2025, <https://online.provdatabase.com/cite/10960>

MLA 9th EditionWorks Cited

Miyanohara, Eiji. Generalized $k$-regular sequences II:digital pattern and transcendence. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/10960.

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