Comparing C and Zilber exponential fields, zero sets of exponential polynomials

2013/10/25 by Paola D Aquino, Angus Macintyre, Aquino, Paola D +3
Mathematics · #Algebraic Geometry and Number Theory #Advanced Differential Equations and Dynamical Systems #Analytic Number Theory Research

paper · pdf · doi:10.48550/arxiv.1310.6891

Abstract

We continue the research programme of comparing the complex exponential field with Zilber exponential. For the latter we prove, using diophantine geometry, various properties about zero sets of exponential functions, proved for C using analytic function theory, e g the Identity Theorem.

Citations

• Linear Equations in Variables which Lie in a Multiplicative Group

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