- Title
- Transcendence over meromorphic functions
- Creator
- Coons, Michael; Tachiya, Yohei
- Relation
- ARC.DE140100223 http://purl.org/au-research/grants/arc/DE140100223
- Relation
- Bulletin of the Australian Mathematical Society Vol. 95, Issue 2017, p. 393-399
- Publisher Link
- http://dx.doi.org/10.1017/S0004972717000193
- Publisher
- Cambridge University Press
- Resource Type
- journal article
- Date
- 2017
- Description
- In this short note, considering functions, we show that taking an asymptotic viewpoint allows one to prove strong transcendence statements in many general situations. In particular, as a consequence of a more general result, we show that if F(z) ϵ C[[z]] is a power series with coefficients from a finite set, then F(z) is either rational or it is transcendental over the field of meromorphic functions.
- Subject
- transcendence; algebraic independence; radial asymptotics
- Identifier
- http://hdl.handle.net/1959.13/1352510
- Identifier
- uon:30904
- Identifier
- ISSN:0004-9727
- Rights
- © 2017 Australian Mathematical Publishing Association Inc.
- Language
- eng
- Reviewed
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