关于丢番图方程px4-(p-1)y2=z4
On the Diophantine Equation px4-(p-1)y2=z4
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摘要: 利用初等方法给出了丢番图方程px4-(p-1)y2=z4当p=qQ2+1,2|Q,q≡3(mod4),p、q为奇素数时的全部正整数解,从而拓展了王洪昌和王春光的px4-(p-1)y2=z4的结果.Abstract: we give all positive integer solutions to the diophantine equation px4-(p-1)y2=z4 by the elementary methods on condition that p=qQ2+1,2|Q,q≡3(mod 4),p and q are odd prime number.Thereby we have extended the result of equation px4-(p-1)y2=z4 studied by Wang Hongchang and Wang Chunguang.
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