Local interdefinability of holomorphic functions

Jonathan Kirby (UEA)

Frank Adams 1,

We consider which holomorphic functions are locally definable from other holomorphic functions in the context of o-minimality. In the case of exponentiation and Weierstrass elliptic functions we are able to use Ax-Schanuel-type results to answer the question completely. This is joint work with Gareth Jones and Tamara Servi.

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