|
|
Amou, M. & Väänänen, K. Arch. Math. (2018) 111: 145. https://doi.org/10.1007/s00013-018-1196-7 Algebraic independence of certain Mahler functions |
|---|---|
| Author: | Amou, Masaaki1; Väänänen, Keijo2 |
| Organizations: |
1Department of Mathematics, Gunma University, Kiryu, Japan 2Department of Mathematics, University of Oulu, Oulu, Finland |
| Format: | article |
| Version: | accepted version |
| Access: | open |
| Online Access: | PDF Full Text (PDF, 0.2 MB) |
| Persistent link: | http://urn.fi/urn:nbn:fi-fe2019032810296 |
| Language: | English |
| Published: |
Springer Nature,
2018
|
| Publish Date: | 2019-05-29 |
| Description: |
AbstractWe prove algebraic independence of functions satisfying a simple form of algebraic Mahler functional equations. The main result (Theorem 1.1) partly generalizes a result obtained by Kubota. This result is deduced from a quantitative version of it (Theorem 2.1), which is proved by using an inductive method originated by Duverney. As an application we can also generalize a recent result by Bundschuh and the second named author (Theorem 1.2 and its corollary). see all
|
| Series: |
Archiv der Mathematik |
| ISSN: | 0003-889X |
| ISSN-E: | 1420-8938 |
| ISSN-L: | 0003-889X |
| Volume: | 111 |
| Issue: | 2 |
| Pages: | 145 - 155 |
| DOI: | 10.1007/s00013-018-1196-7 |
| OADOI: | https://oadoi.org/10.1007/s00013-018-1196-7 |
| Type of Publication: |
A1 Journal article – refereed |
| Field of Science: |
111 Mathematics |
| Subjects: | |
| Copyright information: |
© Springer International Publishing AG, part of Springer Nature 2018. This is a post-peer-review, pre-copyedit version of an article published in Archiv der Mathematik. The final authenticated version is available online at: https://doi.org/10.1007/s00013-018-1196-7. |