Ivan Hlavacek, Matematicky ustav AV CR, Zitna 25, 115 67 Praha 1, Czech Republic
Abstract: A proof is given that the system in the title has infinitely many solutions of the form $a_1 + \ii a_2$, where $a_1$ and $a_2$ are rational numbers.
Keywords: Diophantine equations, Weierstrass $p$-function
Classification (MSC2000): 10B05, 10M05
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