A note on pencils of norm-form equations
We find all solutions to the parametrized family of norm-form equations $x^3-(t^3-1)y^3+3(t^3-1)xy+(t^3-1)^2 = \pm 1$ studied by Amoroso, Masser and Zannier. Our proof relies upon an appeal to lower bounds for linear forms in logarithms and various elementary arguments.
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| Sprache: | eng |
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| Zusammenfassung: | We find all solutions to the parametrized family of norm-form equations
$x^3-(t^3-1)y^3+3(t^3-1)xy+(t^3-1)^2 = \pm 1$ studied by Amoroso, Masser and
Zannier. Our proof relies upon an appeal to lower bounds for linear forms in
logarithms and various elementary arguments. |
|---|---|
| DOI: | 10.48550/arxiv.2104.04544 |