The Integer Solutions of Diophantine Equation Χ2 − 21 = 4y5

Yi Wu; Lan Long; Zheng Ping Zhang

doi:10.4028/www.scientific.net/AMM.687-691.1182

Paper Titles

Explore the Use of Computer-Aided Design in the Landscape Renderings
p.1166

Motions Blur Effects in the Process of Three-Dimensional Animation Technology Research
p.1170

The Design and Implementation of Key Technologies of the Computer Algorithm Dynamic System
p.1174

Explore the Process of Computer Sports Simulation
p.1178

The Integer Solutions of Diophantine Equation Χ²− 21 = 4y⁵
p.1182

Short-Term Load Forecasting Based on Big Data Technologies
p.1186

Modeling System Reliability Using a Nonparametric Method
p.1193

Reliability Analysis for Masked Data under Type-II Generalized Progressively Hybrid Censored Scheme
p.1198

Research on MATLAB and its Application in Mathematical Modeling
p.1202

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 687-691The Integer Solutions of Diophantine Equation Χ2 −...

The Integer Solutions of Diophantine Equation Χ²− 21 = 4y⁵

Abstract:

In this paper, we studied the integer solutions of the typical Diophantine equations with some important theories in quadratic fields and the fundamental theorem of arithmetic in the ring of quadratic algebraic integers. We proved all the integer solutions of the Diophantine equation Χ²− 21 = 4y⁵.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 687-691)

Pages:

1182-1185

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.687-691.1182

Citation:

Cite this paper

Online since:

November 2014

Authors:

Yi Wu*, Lan Long, Zheng Ping Zhang

Keywords:

Diophantine Equation, Euclid Field, Integer Solution

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

[1] Yi Wu, About the Unique Integer Solution for Diophantine Equation , Journal of Science of Teachers' College and University. 26(2) (2006) 7-8.

Google Scholar

[2] Liping Zhang, On the Diophantine Equation , Journal of Changchun Institute Of Technology (Natural Science Edition). 8(1) (2007) 84-85.

Google Scholar

[3] Xiaoyan Li, Hui Zhang, On the Diophantine Equation , Journal of Hefei Teachers College. 27(3) (2009) 24-25.

Google Scholar

[4] Zhen Wang, Xiaoyan Li, On Diophantine Equation , Journal of Chongqing Technology and Business University (Natural Science Edition). 26(6) (2009) 551-552.

Google Scholar

[5] Xiaoquan Tuo, Caining Wang, Jinbao Guo, Discussion about the Existence of the Diophantine Equation (), Journal of Yanan University (Natural Science Edition). 31(3) (2012) 7-8.

Google Scholar

[6] Chengdong Pan, Chengbiao Pan, Algebraic Number Theory, second ed., Shandong University Press, Jinan, (2001).

Google Scholar

[7] Sihe Min, Shijian Yan, Elementary Number Theory, second ed., Higher Education Press, Beijing, (1982).

Google Scholar

[8] Luogeng Hua, An Introduction to the Theory of Numbers, Science Press, Beijing, (1979).

Google Scholar