HomePublications

Local interdefinability of Weierstrass elliptic functions

Research output: Contribution to journalArticle

Standard

Local interdefinability of Weierstrass elliptic functions. / Jones, Gareth; Kirby, Jonathan; Servi, Tamara.

In: Journal of the Institute of Mathematics of Jussieu, Vol. 15, No. 4, 10.2016, p. 673–691.

Research output: Contribution to journalArticle

Harvard

APA

Vancouver

Author

Bibtex- Download

@article{157887a9111a47b5ba05124cbc7cc37c,
title = "Local interdefinability of Weierstrass elliptic functions",
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.",
keywords = "03C64 11U09, o-minimality, local definability, predimension, Weierstrass p-function",
author = "Gareth Jones and Jonathan Kirby and Tamara Servi",
year = "2016",
month = oct,
doi = "10.1017/S1474748014000425",
language = "English",
volume = "15",
pages = "673–691",
journal = "Journal of the Institute of Mathematics of Jussieu",
issn = "1474-7480",
publisher = "Cambridge University Press",
number = "4",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Local interdefinability of Weierstrass elliptic functions

AU - Jones, Gareth

AU - Kirby, Jonathan

AU - Servi, Tamara

PY - 2016/10

Y1 - 2016/10

N2 - 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.

AB - 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.

KW - 03C64 11U09

KW - o-minimality

KW - local definability

KW - predimension

KW - Weierstrass p-function

U2 - 10.1017/S1474748014000425

DO - 10.1017/S1474748014000425

M3 - Article

VL - 15

SP - 673

EP - 691

JO - Journal of the Institute of Mathematics of Jussieu

JF - Journal of the Institute of Mathematics of Jussieu

SN - 1474-7480

IS - 4

ER -

ID: 40404515