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The Diophantine Equation  |
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| Authors: | Andreas-Stephan Elsenhans Jö rg Jahnel. |
| Affiliation: | Mathematisches Institut der Universität Göttingen, Bunsenstraße 3--5, D-37073 Göttingen, Germany ; Mathematisches Institut der Universität Göttingen, Bunsenstraße 3--5, D-37073 Göttingen, Germany |
| Abstract: | We show that, within the hypercube  , the Diophantine equation  admits essentially one and only one nontrivial solution, namely  . The investigation is based on a systematic search by computer. |
| Keywords: | $K3$~surface diagonal quartic surface rational point Diophantine equation computer solution hashing |
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