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A Two-Power Diophantine Identity

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Let , , be three arbitrary complex numbers. Set

[more]

,

,

,

,

,

,

,

,

.

Then we have

and

.

We get a Diophantine equation when , and are integers.

For example:

and

,

and

.

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Contributed by: Minh Trinh Xuan (June 13)
Open content licensed under CC BY-NC-SA

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