Laska, Michael Solving the equation \(x^ 3\) - \(y^ 2\) = r in number fields. (English) Zbl 0481.10012 J. Reine Angew. Math. 333, 73-85 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Document MSC: 11D25 Cubic and quartic Diophantine equations 14H52 Elliptic curves 11R11 Quadratic extensions Keywords:cubic Diophantine equation; elliptic curve; Mordell equation; subring of quadratic number field; exponential equations Citations:Zbl 0342.14014; Zbl 0402.14010 PDFBibTeX XMLCite \textit{M. Laska}, J. Reine Angew. Math. 333, 73--85 (1982; Zbl 0481.10012) Full Text: DOI Crelle EuDML