On Dec 8, 2012 10:27 AM, "Volker Braun" <vbraun.n...@gmail.com> wrote: > > Solving a linear diophantine equation is an application of the Smith form. > > A quadratic diophantine equation can be solved with the Hasse-Minkowski theorem, though thats is definitely more advanced ( http://en.wikipedia.org/wiki/Hasse%E2%80%93Minkowski_theorem) > > If its not one of these cases then you are pretty much out of luck ;-) > >
Elliptic curves (cubic plane curves) are another major case with a developed theory. This stuff basically *is* number theory... and as such, Sage and Magma are pretty powerful for this, far ahead of anything else... > On Saturday, December 8, 2012 5:46:00 PM UTC, Robert Dodier wrote: >> >> Hello, is there a way to solve Diophantine equations in Sage? > > -- > You received this message because you are subscribed to the Google Groups "sage-support" group. > To post to this group, send email to sage-support@googlegroups.com. > To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com. > Visit this group at http://groups.google.com/group/sage-support?hl=en. > > -- You received this message because you are subscribed to the Google Groups "sage-support" group. To post to this group, send email to sage-support@googlegroups.com. To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support?hl=en.