Informatics Publishing Limited

Qing Zou ¹, Jun Steed Huang ², Qianyun Ding ²

Affiliations
1 Department of Mathematics, Jiangsu University, Zhenjiang, Jiangsu - 212013, CN
2 Suqian College, Jiangsu University, 399 South Huanghe, Jiangsu - 223800, CN

Abstract

In this paper, we give the original form of Thue Theorem. From the original form, we get to a second and third equivalent forms, and from which we prove that the Thue Theorem is actually not that effective, in the sense that, it does not lead to an immediate solution, unless with extra limit, albeit its indisputable important position in the transcendental number theory. Its potential application is mentioned as well.

Keywords

Dynamical Key, Effectiveness, Thue Theorem, Transcendental Number Theory

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