| 一族带参数指数型不定方程的总解数 |
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| 引用本文： | 孙广人.一族带参数指数型不定方程的总解数[J].安庆师范学院学报(自然科学版),2009,15(1):24-26. |
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| 作者姓名： | 孙广人 |
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| 作者单位： | 安庆师范学院,数学与计算科学学院,安徽,安庆,246011 |
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| 摘 要： | 证明了以m为参数时,如果固定m的类型,l取自特定的集合时,不定方程的集合{m=l｜l∈lL}的总解数有限,并且提出了关于解数上界的若干猜想。
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| 关 键 词： | 不定方程 丢番图逼近 正整数的基 |
Total Number of Solutions of a Family of Exponential Diophantine Equations with a Parameter |
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| SUN Guang-ren.Total Number of Solutions of a Family of Exponential Diophantine Equations with a Parameter[J].Journal of Anqing Teachers College(Natural Science Edition),2009,15(1):24-26. |
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| Authors: | SUN Guang-ren |
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| Institution: | SUN Guang-ren (School Of Math. and Computation Science,Anqing Teachers College,Anqing 246133,China) |
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| Abstract: | In this paper we prove that total number of solutions of diophantine equations {m=l|∈lL} is finite if the type of the parameter m and the set L are fixed,and bring forward some conjectures on the upper bound of number of solutions. |
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| Keywords: | diophantine equation diopantine approximation the basis of positive integers |
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