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.
|Number of pages||19|
|Journal||Journal of the Institute of Mathematics of Jussieu|
|Early online date||24 Nov 2014|
|Publication status||Published - Oct 2016|
- 03C64 11U09
- local definability
- Weierstrass p-function