| 丢番图方程x2+3m=yn |
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| 引用本文： | 潘家宇.丢番图方程x2+3m=yn[J].河南科学,2011,29(10):1155-1158. |
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| 作者姓名： | 潘家宇 |
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| 作者单位： | 河南工业大学数学系,郑州,450000 |
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| 基金项目： | 河南工业大学校科研项目(2006XJC038) |
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| 摘 要： | 证明了指数丢番图方程x2+3m=yn,x,y,m,n∈N,n≥2,仅有解(x,y,m,n)=(46,13,4,3),(10,7,5,3).
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| 关 键 词： | 指数丢番图方程 代数整数 Lucas数 |
On the Diophantine Equation x~2 +3~m =y~n |
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| Pan Jiayu.On the Diophantine Equation x~2 +3~m =y~n[J].Henan Science,2011,29(10):1155-1158. |
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| Authors: | Pan Jiayu |
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| Institution: | Pan Jiayu (Department of Mathematics,Henan University of Technology,Zhengzhou 450000,China) |
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| Abstract: | In this paper,the Diophantine equation x 2 +3 m =y n,x,y,m,n∈N,n≥2,(x,y)=1 has only solutions(x,y,m,n)=(46,13,4,3),(10,7,5,3)were proved. |
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| Keywords: | exponential Diophantine equation algebraic integer Lucas number |
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