Yan Liu
Abstract
Let p be an prime and p = 1(mod 8),(2/p)4≠1 ,the author has proved that the Diophantine equation x4 - py4 = 2z2 has no positive integer solution (x,y).
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Let p be an prime and p = 1(mod 8),(2/p)4≠1 ,the author has proved that the Diophantine equation x4 - py4 = 2z2 has no positive integer solution (x,y).
Key concepts: Diophantine equation, Legendre's equation, Diophantine set, Chemistry, Mathematics, Pure mathematics