- Title
- Sin, cos, exp and log of Liouville numbers
- Creator
- Chalebgwa, Taboka; Morris, Sidney
- Date
- 2023
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/197164
- Identifier
- vital:18811
- Identifier
-
https://doi.org/10.1017/S000497272200140X
- Identifier
- ISSN:0004-9727 (ISSN)
- Abstract
- For any Liouville number, all of the following are transcendental numbers:, and the inverse functions evaluated at of the listed trigonometric and hyperbolic functions, noting that wherever multiple values are involved, every such value is transcendental. This remains true if 'Liouville number' is replaced by 'U-number', where U is one of Mahler's classes of transcendental numbers. © The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
- Publisher
- Cambridge University Press
- Relation
- Bulletin of the Australian Mathematical Society Vol. 108, no. 1 (2023), p. 81-85
- Rights
- All metadata describing materials held in, or linked to, the repository is freely available under a CC0 licence
- Rights
- https://creativecommons.org/licenses/by/4.0/
- Rights
- Copyright © The Author(s), 2022
- Rights
- Open Access
- Subject
- 49 Mathematical sciences; Cos; Exp; Liouville number; Log; Mahler class; Sin; Transcendental number
- Full Text
- Reviewed
- Funder
- The first author’s research is supported by the Fields Institute for Research in Mathematical Sciences, via the Fields–Ontario postdoctoral Fellowship.
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