Abstract
A polynomial parametrization for the group of integer two-by-two matrices with determinant one is given, solving an old open problem of Skolem and Beurkers. It follows that, for many Diophantine equations, the integer solutions and the primitive solutions admit polynomial parametrizations.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 979-1009 |
| Number of pages | 31 |
| Journal | Annals of Mathematics |
| Volume | 171 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2010 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty