Abstract
Most of the known results about the Diophantine equation x5 + y5 + z5 = u5 + v5 + w5 are shown to be particular instances of a simple geometrical construction. By studying a K3 surface contained in the fourfold, we show that there are an infinity of parametric solutions also satisfying x + y + z = u + v + w, x - y = u - v; and we show that these may be effectively determined.
Original language | English (US) |
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Pages (from-to) | 337-354 |
Number of pages | 18 |
Journal | Journal of Number Theory |
Volume | 13 |
Issue number | 3 |
DOIs | |
State | Published - Aug 1981 |
Externally published | Yes |
ASJC Scopus subject areas
- Algebra and Number Theory