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On the representation of rational functions of bounded complexity. (English) Zbl 0679.68099

Summary: The main result of this article is the Representation Theorem which characterizes families of rational functions of bounded complexity by appropriate mappings. This description is not only independent of the characteristic of the underlying field but also of the specific complexity measure under consideration. As an application of the Representation Theorem we derive good lower complexity bounds.

MSC:

68Q25 Analysis of algorithms and problem complexity
12E99 General field theory
Full Text: DOI

References:

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