Local interdefinability of Weierstrass elliptic functions

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
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, Number Theory, Logic, and Representations (ANTLR)
Depositing User:	Pure Connector
Date Deposited:	25 Feb 2015 06:11
Last Modified:	28 May 2025 23:53
URI:	https://ueaeprints.uea.ac.uk/id/eprint/51028
DOI:	10.1017/S1474748014000425

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