Some results and problems on complex germs with definable mittag-leffler stars

A. J. Wilkie

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    Abstract

    Working in an o-minimal expansion of the real field, we investigate when a germ (around zero, 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 neighborhood of the origin in C has an analytic continuation to all but finitely many points in C. © 2013 by University of Notre Dame. © 2013 by University of Notre Dame.
    Original languageEnglish
    Pages (from-to)603-610
    Number of pages7
    JournalNotre Dame Journal of Formal Logic
    Volume54
    Issue number3-4
    DOIs
    Publication statusPublished - 2013

    Keywords

    • Analytic continuation
    • Definable functions
    • O-minimality

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