Simple continued fraction solutions for diophantine equations |
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| Authors: | RA Mollin |
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| Institution: | Mathematics Department, University of Calgary, Calgary, Alberta, T2N 1N4, Canada |
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| Abstract: | We present elementary necessary and sufficient conditions for the solvability of the Diophantine equation x2 − Dy2 = n for any n and any nonsquare integer D > 0, using only simple continued fraction expansions. This includes a simple device for finding fundamental solutions of such equations. |
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