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A New Proof of Diophantine Equation (^n2) = (^m4)
引用本文:ZHU HUI-LIN. A New Proof of Diophantine Equation (^n2) = (^m4)[J]. 东北数学, 2009, 25(3): 282-288
作者姓名:ZHU HUI-LIN
作者单位:School of Mathematics,Shandong University, Jinan, 250100;School of Mathematical Sciences, Xiamen University, Xiamen, Fujian, 361005  
基金项目:The Fund (0000X08103) of Xiamen Unlverslty.
摘    要:By using algebraic number theory and p-adic analysis method, we give a new and simple proof of Diophantine equation (^n2) = (^m4)

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A New Proof of Diophantine Equation(n 2) = (m 4)
ZHU HUI-LIN. A New Proof of Diophantine Equation(n 2) = (m 4)[J]. Northeastern Mathematical Journal, 2009, 25(3): 282-288
Authors:ZHU HUI-LIN
Abstract:By using algebraic number theory and p-adic analysis method, we give a new and simple proof of Diophantine equation (n 2) = (m 4).
Keywords:binomial Diophantine equation  fundamental unit  factorization  p-adic analysis method
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