Number Theory


The Diophantine Equations A2 ± M B2 = Cn, A3 ± M B3 = D2 and Y14 ± M Y24 = R2

Authors: Chun-Xuan Jiang

The Diophantine equations a2 ± m b2 = cn , and a3 ± m b3 = d2 have infinitely many nonzero integer solutions, Using the methods of infinite descent and infinite ascent we prove y14 ± m y24 = R2 .

Comments: 9 pages.

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Submission history

[v1] 27 Feb 2011
[v2] 8 Apr 2011

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