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Preprint Number 689

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689. Gareth Jones, Jonathan Kirby, Tamara Servi
Local interdefinability of Weierstrass elliptic functions
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Submission date: 17 February 2014.

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.

Mathematics Subject Classification: 03C64 11U09

Keywords and phrases:

Full text arXiv 1402.3963: pdf, ps.


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