| 关于不定方程x~3-1=55y~2整数解的讨论 |
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| 作者单位： | ;1.延安大学数学与计算机科学学院 |
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| 摘 要： | 利用递归序列、同余式、平方剩余以及Pell方程的解的性质证明了不定方程x~3-1=55y~2仅有整数解(x,y)=(1,0).
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| 关 键 词： | 不定方程 整数解 递归序列 同余式 |
Integral solutions of diophantine equation x~3-1 = 55y~2 |
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| Affiliation: | ,College of Mathematics and Computer Sciences,Yan'an University |
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| Abstract: | Through the application of recurrent sequence,congruence,quadratic remainder and some properties of the solutions to Pell equation,this paper proves that the Diophantine equation x~3-1 = 55y~2 has only the integer solution( x,y) =( 1,0). |
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| Keywords: | Diophantine equation integer solution recurrent sequence congruence sequence |
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