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math.LO2014
The rational field is not universally definable in pseudo-exponentiation
Jonathan Kirby
We show that the field of rational numbers is not definable by a universal formula in Zilber's pseudo-exponential field.
math.LO2014★ 8 cited
Local interdefinability of Weierstrass elliptic functions
Gareth Jones, Jonathan Kirby, Tamara Servi
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 o…