Author:
MARQUES DIEGO,MOREIRA CARLOS GUSTAVO
Abstract
AbstractIn this note we shall prove the existence of an uncountable subset of Liouville numbers (which we call the set of ultra-Liouville numbers) for which there exist uncountably many transcendental analytic functions mapping the subset into itself.
Publisher
Cambridge University Press (CUP)
Cited by
13 articles.
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1. On the transcendence of power towers of Liouville numbers;Indagationes Mathematicae;2023-11
2. On the Transcendence of Some Powers Related to U-numbers;Bulletin of the Brazilian Mathematical Society, New Series;2023-04-15
3. ERDŐS–LIOUVILLE SETS;Bulletin of the Australian Mathematical Society;2022-10-03
4. ON p-ADIC INTERPOLATION IN TWO OF MAHLER’S PROBLEMS;Bulletin of the Australian Mathematical Society;2022-09-22
5. On intrinsic and extrinsic rational approximation to Cantor sets;Ergodic Theory and Dynamical Systems;2020-02-10