On the transcendence of power towers of Liouville numbers

DOI10.1016/j.indag.2023.11.002arXiv2310.06780OpenAlexW4388595422MaRDI QIDQ6130558

Pavel Trojovský, Diego Marques, Marcelo Oliveira

Publication date: 3 April 2024

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2310.06780

zbMATH Keywords

linear forms in logarithmsLiouville numberstranscendental numberspower tower

Mathematics Subject Classification ID

Transcendence (general theory) (11J81) Linear forms in logarithms; Baker's method (11J86)

Cites Work

• Linear forms in two logarithms and Schneider's method
• A positive answer for a question proposed by K. Mahler
• Liouville numbers and Schanuel's conjecture
• Some suggestions for further research
• On exceptional sets of transcendental functions with integer coefficients: solution of a problem of Mahler
• On the transcendence of some powers related to \(U\)-numbers
• SIN, COS, EXP AND LOG OF LIOUVILLE NUMBERS
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