Low functions of reals

Katrin Tent; Martin Ziegler

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arXiv · 0903.1384

Low functions of reals

Katrin Tent·Martin Ziegler

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Abstract

We introduce a new notion of computable function on $\R^N$ and prove some basic properties. We give two applications, first a short proof of Yoshinaga's theorem that periods are \el (they are actually low). We also show that the low complex numbers form a algebraically closed field closed under exponentiation and some other special functions.

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BibTeX RIS

Katrin Tent, Martin Ziegler. 2009-03-09. Low functions of reals. https://arxiv.org/abs/0903.1384

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