Local interdefinability of Weierstrass elliptic functions

Jones, Gareth, Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107 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
Uncontrolled Keywords:	03c64 11u09,o-minimality,local definability,predimension,weierstrass p-function
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Logic (former - to 2024) Faculty of Science > Research Groups > Algebra, Logic & Number Theory
Depositing User:	Pure Connector
Date Deposited:	25 Feb 2015 06:11
Last Modified:	20 Nov 2024 01:27
URI:	https://ueaeprints.uea.ac.uk/id/eprint/51028
DOI:	10.1017/S1474748014000425

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