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The Positive Integer Solutions of a Diophantine Equation

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Abstract:

In this paper, we studied the positive integer solutions of a typical Diophantine equation starting from two basic equations including a Diophantine equation and a Pell equation, and we will prove all the positive integer solutions of the typical Diophantine equation.

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Info:

Periodical:

Applied Mechanics and Materials (Volumes 713-715)

Pages:

1483-1486

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.713-715.1483

Citation:

Cite this paper

Online since:

January 2015

Authors:

Yi Wu*, Zheng Ping Zhang

Keywords:

Diophantine Equation, Pell Equation, Positive Integer Solution

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Сopyright:

© 2015 Trans Tech Publications Ltd. All Rights Reserved

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References

[1] Z. Ke and Q. Sun, About Indeterminate Equation. Harbin Institute of Technology Press, Harbin, (2011).

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[2] S. H. Min, S. J. Yan, Elementary Number Theory, 2nd ed., Higher Education Press, Beijing, (1982).

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[3] Y. Wu, About the Unique Integer Solution for Diophantine Equation ", Journal of Science of Teachers, College and University, vol. 26, (2006)7-8.

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