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您的检索式：作者名="Togbe Alain"
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| 1 | 关于指数丢番图方程a^x+(3a^2-1)~y=(4a^2-1)~z的正整数解(英文)显示文摘本文通过计算Jacobi符号,运用代数数的对数线性型的下界估计,证明了:当整数a>1时,指数丢番图方程a^x+(3a^2-1)~y=(4a^2-1)~z仅有正整数解(x,y,z)=(2,1,1). | 何波 Togbe Alain | 2011 | 数学进展2011，40，2： | 3 |
| 2 | On the size of the intersection of two Lucas sequences of distinct type Ⅱ显示文摘Let a and b be positive integers, with a not perfect square and b > 1. Recently, He, Togband Walsh proved that the Diophantine equation x2-a((bk-1)/(b-1))2=1 has at most three solutions in positive integers. Moreover, they showed that if max{a,b} > 4.76·1051, then there are at most two positive integer solutions (x,k). In this paper, we sharpen their result by proving that this equation always has at most two solutions. | CIPU Mihai MIGNOTTE Maurice TOGB Alain | 2011 | Science China Mathematics2011，54，7： | 0 |
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