Local interdefinability of Weierstrass elliptic functions
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Jones, Gareth, Kirby, Jonathan and Servi, Tamara (2016) Local interdefinability of Weierstrass elliptic functions. Journal of the Institute of Mathematics of Jussieu, 15 (4). 673–691. ISSN 1474-7480
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Abstract
We explain which Weierstrass elliptic functions are locally definable from other elliptic functions and exponentiation in the context of o-minimal structures. The proofs make use of the predimension method from model theory to exploit functional transcendence theorems in a systematic way.
Item Type: | Article |
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Uncontrolled Keywords: | 03c64 11u09,o-minimality,local definability,predimension,weierstrass p-function |
Faculty \ School: | Faculty of Science > School of Mathematics |
Depositing User: | Pure Connector |
Date Deposited: | 25 Feb 2015 06:11 |
Last Modified: | 05 Feb 2021 00:55 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/51028 |
DOI: | 10.1017/S1474748014000425 |
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