A note on transcendental entire functions mapping uncountable many Liouville numbers into the set of Liouville numbers

DOI10.3792/pjaa.93.111zbMath1434.11142OpenAlexW2766907287MaRDI QIDQ1705663

Josimar Ramirez, Diego Marques, Jean Lelis

Publication date: 16 March 2018

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.93.111

zbMATH Keywords

transcendental functionLiouville numberMahler problem

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Transcendence theory of elliptic and abelian functions (11J89)

Related Items

Some results on arithmetic properties of \(p\)-adic Liouville numbers

Cites Work

• On strong Liouville numbers (a problem of P. Erdős)
• On transcendental analytic functions mapping an uncountable class of \(U\)-numbers into Liouville numbers
• A positive answer for a question proposed by K. Mahler
• ON A PROBLEM POSED BY MAHLER
• Some suggestions for further research
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