Pondering the Effectiveness of Thue Theorem in Transcendental Number Theory for Application

Qing Zou; Jun Steed Huang   and Qianyun Ding

doi:10.17485/ijst/2015/v8i30/85852

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Pondering the Effectiveness of Thue Theorem in Transcendental Number Theory for Application

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2015/v8i30/85852

Year: 2015, Volume: 8, Issue: 30, Pages: 1-3

Original Article

Pondering the Effectiveness of Thue Theorem in Transcendental Number Theory for Application

Qing Zou¹, Jun Steed Huang^2* and Qianyun Ding²

¹ Department of Mathematics, Jiangsu University, Zhenjiang, Jiangsu - 212013, P. R. China
²Suqian College, Jiangsu University, 399 South Huanghe, Jiangsu - 223800, P.R. China; [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

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