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On algebraic independence of a class of infinite products |
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| Author: | Amou, Masaaki1; Väänänen, Keijo2 |
| Organizations: |
1Department of Mathematics, Gunma University, Tenjin-cho 1-5-1, Kiryu 376-8515, Japan 2Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, 90014 Oulu, Finland |
| Format: | article |
| Version: | accepted version |
| Access: | open |
| Online Access: | PDF Full Text (PDF, 0.4 MB) |
| Persistent link: | http://urn.fi/urn:nbn:fi-fe2019032810241 |
| Language: | English |
| Published: |
Elsevier,
2017
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| Publish Date: | 2019-03-28 |
| Description: |
AbstractAlgebraic independence of values of certain infinite products is proved, where the transcendence of such numbers was already established by Tachiya. As applications explicit examples of algebraically independent numbers are also given. see all
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| Series: |
Journal of number theory |
| ISSN: | 0022-314X |
| ISSN-E: | 1096-1658 |
| ISSN-L: | 0022-314X |
| Volume: | 172 |
| Pages: | 114 - 132 |
| DOI: | 10.1016/j.jnt.2016.08.007 |
| OADOI: | https://oadoi.org/10.1016/j.jnt.2016.08.007 |
| Type of Publication: |
A1 Journal article – refereed |
| Field of Science: |
111 Mathematics |
| Subjects: | |
| Copyright information: |
© 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ |
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https://creativecommons.org/licenses/by-nc-nd/4.0/ |