We continue the research programme of comparing the complex exponential with Zilber's exponential. For the latter we prove, using diophantine geometry, various properties about zero sets of exponential functions, proved for $\mathbb C$ using analytic function theory, e.g. the Identity Theorem.
Comparing $\mathbb C$ and Zilber's Exponential Fields: Zero Sets of Exponential Polynomials
D'AQUINO, Paola;TERZO, Giuseppina
2016
Abstract
We continue the research programme of comparing the complex exponential with Zilber's exponential. For the latter we prove, using diophantine geometry, various properties about zero sets of exponential functions, proved for $\mathbb C$ using analytic function theory, e.g. the Identity Theorem.File in questo prodotto:
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