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2012.86: Some results and problems on complex germs with definable Mittag-Leffler stars

2012.86: A J Wilkie (2012) Some results and problems on complex germs with definable Mittag-Leffler stars.

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Abstract

Working in an o-minimal expansion of the real field, we investigate when a germ (around 0 say) of a complex analytic function has a definable analytic continuation to its Mittag-Leffler star. As an application we show that any algebro-logarithmic function that is complex analytic in a neighbourhood of the origin in C has an analytic continuation to all but finitely many points in C.

Item Type:MIMS Preprint
Uncontrolled Keywords:Analytic continuation for complex functions
Subjects:MSC 2000 > 03 Mathematical logic and foundations
MSC 2000 > 30 Functions of a complex variable
MIMS number:2012.86
Deposited By:Prof Alex J Wilkie
Deposited On:12 October 2012

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