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arXiv · 1610.04026

Complexities Approach to Two Problems In Number Theory

Yang Bai·Xiuli Wang
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Abstract

By Kolmogorov Complexity,two number-theoretic problems are solved in different way than before,one problem is Maxim Kontsevich and Don Bernard Zagier's Problem 3 \emph{Exhibit at least one number which does not belong to} $ \mathcal{P}$ (period number) in their paper,another is the problem about existence of bounded coefficients of continued fraction expansion of transcendental number.Thus we show a new approach to mathematical problems in the non-logical discipline.Futhermore,we show that resource-bounded Kolmogorov Complexity and computational complexity can at least provide tips or principles to mathematical problems in the non-traditional or logical discipline.

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Yang Bai, Xiuli Wang. 2016-10-13. Complexities Approach to Two Problems In Number Theory. https://arxiv.org/abs/1610.04026

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