Solutions of the diophantine equations x^2-kxy-y^2=±k
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Abstract (EN)
In the first section of this work, fundamental definitions and theorems related to the subject are given. In the second section, some Diophantine equations and their solutions including generalized Fibonacci and Lucas numbers are given. In the third section covers our main results and is devoted to finding positive integer solutions of some new Diophantine equations. In the last section, the results in the third section are summarized and new problems related to the equations discussed in this section are proposed.
Author
Kübra Ged
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How to Cite
Kübra Ged (Master Thesis). Solutions of the diophantine equations x^2-kxy-y^2=±k, 2021, Sakarya University.
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