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The Solution of the Indefinite Equation by the Method of Euclidean Algorithm

DOI: 10.4236/oalib.1112011, PP. 1-8

Subject Areas: Number Theory, Integral Equation

Keywords: Euclidean Algorithm, Binary Quadratic Indefinite Equation, Indefinite Equation of Higher Order in Binary, Positive Integer Solutions

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Abstract

In this paper, a new mathematical method is used to study the indefinite equations of binary quadratic and binary arbitrary order, the problem of judging and solving these indefinite equations with or without solutions is solved.

Cite this paper

Zhou, Z. (2024). The Solution of the Indefinite Equation by the Method of Euclidean Algorithm. Open Access Library Journal, 11, e2011. doi: http://dx.doi.org/10.4236/oalib.1112011.

References

[1]  Ke, Z. and Sun, Q. (2011) Talk about Indefinite Equations. Harbin Institute of Technology Press.
[2]  Pan, C.D. and Pan, C.B. (2009) Elementary Number Theory. Beijing University Press, 279-280.
[3]  Vinogradov (2014) Fundamentals of Number Theory and Vinogradov. Harbin Institute of Technology Press, 43-45.
[4]  Ji, J. (2013) Number Theory and Ap-plication. Tsinghua University Press, 23.
[5]  Silverman, J.H. (2008) Introduction to Number Theory. Ministry of Machin-ery Industry Press, 127.

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