Linear independence of certain numbers in the base-\(b\) number system

DOI10.1007/s00013-023-01919-1arXiv2205.15601OpenAlexW4386862512MaRDI QIDQ6189008

Shintaro Murakami, Yohei Tachiya

Publication date: 12 January 2024

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.15601

zbMATH Keywords

linear independenceprimes in arithmetic progressionbase-\(b\) number system

Mathematics Subject Classification ID

Irrationality; linear independence over a field (11J72)

Cites Work

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• Theta functions and transcendence
• Transcendence of Jacobi's theta series
• Linear independence of certain numbers
• Algebraic results for the values \(\vartheta_3(m\tau)\) and \(\vartheta_3(n\tau)\) of the Jacobi theta-constant
• On the binary expansions of algebraic numbers
• Modular functions and transcendence questions

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