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Simultaneous Diophantine Equations for Powers 1, 2, 4 and 6
Let
and
be arbitrary complex numbers.
Set
,
,
,
,
and
,
,
,
.
Then for
,
.
If
and
are integers, we get simultaneous Diophantine equations; for example:
,
,
,
.
Contributed by:
Minh Trinh Xuan
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PERMANENT CITATION
Minh Trinh Xuan
"
Simultaneous Diophantine Equations for Powers 1, 2, 4 and 6
"
http://demonstrations.wolfram.com/SimultaneousDiophantineEquationsForPowers124And6/
Wolfram Demonstrations Project
Published: June 7, 2022
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