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A Family of Binary Quartic Diophantine Equations

LE Mao-hua(Department of Mathematics,Zhanjiang Normal College,Zhanjiang 524048,China)  
Let a,b be coprime positive integers,and let c∈{±1,±2,±4}.ln this paper,a survey of important results of the binary quartic diophantine equation ax4-by2=c and an analysis of related unsolved problems are given.
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