Title: Solution to the Diophantine Equation ax~4+by~4=cz~2
Abstract: For positive integer a,b,c,we give all positive integer solutions to the Diophantine equation ax4+by4=cz2 on condition of(a,b,c)=(2,3,5).To combine the result of equation ax4+by4=cz2 with(a,b,c)=(5,3,2) studied by Tong Ruizhou,we give all positive integer solutions to the Diophantine equation ax4+by4=cz2 on condition that min{a,b,c}1 and max{a,b,c}≤5.Thereby we have developed the result of equation ax4+by4=cz2 studied by Mordell.
Publication Year: 2011
Publication Date: 2011-01-01
Language: en
Type: article
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