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Difference analogue of Cartan's Second Main Theorem for slowly moving periodic targets

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arxiv 1603.00674 v1 pith:A2SVRYK3 submitted 2016-03-02 math.CV

classification math.CV
keywords differencetheoremanaloguemainsecondcartanmovingperiodic
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We extend the difference analogue of Cartan's second main theorem for the case of slowly moving periodic hyperplanes, and introduce two different natural ways to find a difference analogue of the truncated second main theorem. As applications, we obtain a new Picard type theorem and difference analogues of the deficiency relation for holomorphic curves.

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