The rational solutions with as denominators powers of 2 to the elliptic diophantine equation y2 = x3 - 228x + 848 are determined. An idea of Yuri Bilu is applied, which avoids Thue and Thue-Mahler equations, and deduces four-term (S-) unit equations with special properties, that are solved by linear forms in real and p-adic logarithms.
|Number of pages||21|
|Journal||Journal de Théorie des Nombres de Bordeaux|
|Publication status||Published - 1997|