The diophantine equation $x^4-y^4=z^2$ in three quadratic fields

[摘要] Each solution of the equation $x^4-y^4=z^2$ in the integers of the quadratic field $Q(sqrt{d})$ is also a solution of the equation $xyz=0$, where $d=-2,-1,2$.

[学科分类] 数学（综合）

[关键词] Quadratic fields