We continue the research programme of comparing the complex exponential with Zilbers̈ exponential. For the latter, we prove, using diophantine geometry, various properties about zero sets of exponential functions, proved for using analytic function theory, for example, the Identity Theorem.
Comparing ℂ and zilber's exponential fields: Zero sets of exponential polynomials / D'Aquino, P.; Macintyre, A.; Terzo, G.. - In: JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU. - ISSN 1474-7480. - 15:1(2016), pp. 71-84. [10.1017/S1474748014000231]
Comparing ℂ and zilber's exponential fields: Zero sets of exponential polynomials
D'Aquino P.;Terzo G.
2016
Abstract
We continue the research programme of comparing the complex exponential with Zilbers̈ exponential. For the latter, we prove, using diophantine geometry, various properties about zero sets of exponential functions, proved for using analytic function theory, for example, the Identity Theorem.File in questo prodotto:
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