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引用次数: 0
摘要
设m >1为正整数。我们证明了指数丢芬图方程mx + (m + 1)y = (1 + m + m2)z在m≥2时只有正整数解(x, y, z) =(2,1,1)。
On the exponential Diophantine equation mx+(m+1)y=(1+m+m2)z
Abstract Let m > 1 be a positive integer. We show that the exponential Diophantine equation mx + (m + 1)y = (1 + m + m2)z has only the positive integer solution (x, y, z) = (2, 1, 1) when m ≥ 2.