ERDŐS–LIOUVILLE SETS

DOI10.1017/s0004972722001009OpenAlexW4300960744MaRDI QIDQ6134295

Sidney A. Morris, Taboka P. Chalebgwa

Publication date: 25 July 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972722001009

zbMATH Keywords

transcendental numberirrational numberErdős propertyLiouville seteuclidean topology

Mathematics Subject Classification ID

Diophantine approximation, transcendental number theory (11J99) Set functions and measures on spaces with additional structure (28C99)

Related Items (3)

ERDŐS PROPERTIES OF SUBSETS OF THE MAHLER SETS ⋮ SIN, COS, EXP AND LOG OF LIOUVILLE NUMBERS ⋮ Metric results on sumsets and Cartesian products of classes of Diophantine sets

Cites Work

• On strong Liouville numbers (a problem of P. Erdős)
• Über die Lösbarkeit von Gleichungssystemen durch Liouville-Zahlen
• Une remarque sur les \(G_ \delta\)-denses
• Polynomial estimates, exponential curves and Diophantine approximation
• A positive answer for a question proposed by K. Mahler
• Liouville numbers and Schanuel's conjecture
• Representations of real numbers as sums and products of Liouville numbers
• A CONTINUOUS HOMOMORPHISM OF A THIN SET ONTO A FAT SET
• Irrationality and Transcendence in Number Theory
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