IJAPM 2019 Vol.9(4): 182-188 ISSN: 2010-362X
doi: 10.17706/ijapm.2019.9.4.182-188
doi: 10.17706/ijapm.2019.9.4.182-188
Commom Solutions for a Class of Simultaneous Pell Equations
Ran Yinxia
Abstract—In recent years, the common solution of pell equations is a hot field in indefinite equations. For
example, the equations 1) mentioned in the paper. However, due to the diverse forms of such equations,
many scholars have done more studies on the smaller values of k and m, and the main conclusions are
focused on the estimation of solutions under some special forms of D1 and the specific values of D. So there
is a lot of room for studying these kinds of equations. In this paper, we studied the common solution of the
system of indefinite equations 2) mentioned in this paper by using the elementary method and the
recursive property of solution sequence. If D is the case in this paper, the common solution of the equations
is given.
Index Terms—The system of indefinite equations, pell equation, integer solution, common solution, odd prime.
Ran Yinxia is with Longnan Teachers College, College of Mathematics and Information Science, Longnan, China (email: ranyinxia@163.com).
Index Terms—The system of indefinite equations, pell equation, integer solution, common solution, odd prime.
Ran Yinxia is with Longnan Teachers College, College of Mathematics and Information Science, Longnan, China (email: ranyinxia@163.com).
Cite: Ran Yinxia, "Commom Solutions for a Class of Simultaneous Pell Equations," International Journal of Applied Physics and Mathematics vol. 9, no. 4, pp. 182-188, 2019.
General Information
ISSN: 2010-362X (Online)
Abbreviated Title: Int. J. Appl. Phys. Math.
Frequency: Quarterly
DOI: 10.17706/IJAPM
Editor-in-Chief: Prof. Haydar Akca
Abstracting/ Indexing: Index Copernicus, IET INSPEC, CNKI, Chemical Abstracts Services (CAS), Nanowerk Database, Google Scholar, EBSCO, etc.
E-mail: ijapm@iap.org
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