This is what I use. “The Algorithmic resolution of Diophantine Equations”, Nigel P. Smart, Chapter IV, Quadratic ternary forms.
Here <http://www.isbns.com.ng/isbn/9780521641562> is the book: On Mon, Jul 15, 2013 at 2:20 AM, Aaron Meurer <asmeu...@gmail.com> wrote: > On Sun, Jul 14, 2013 at 12:09 AM, Thilina Rathnayake > <thilina.r...@gmail.com> wrote: > > Hi All, > > > > I am planning to implement ternary quadratic forms, i.e equations of the > > form, > > a*x**2 + by**2 + cz**2 + fxy + gyz + hzx = 0. It would be better If I can > > find > > a system which currently implement this so I can validate my results. If > you > > know > > of any system which solves this or a source which have good literature on > > the problem, > > please let me know. > > What is the literature that you plan to use to get the algorithm in > the first place? > > Aaron Meurer > > > > > Also I have to solve the quadratic congruence x**2 = D (mod m) as a sub > > problem to implement the algorithm I found. I found a few algorithms on > this > > but > > none of them explain precisely how to solve the general equation, all > they > > do is > > solve the equation for m prime and gcd(D, m) = 1 and just ask to use > Chinese > > remainder theorem to combine the results to solve for the general case > where > > m > > is not prime and gcd(D, m) not necessarily equal to 1. Any help on this > > would > > be highly appreciated. > > > > Regards, > > Thilina > > > > -- > > You received this message because you are subscribed to the Google Groups > > "sympy" group. > > To unsubscribe from this group and stop receiving emails from it, send an > > email to sympy+unsubscr...@googlegroups.com. > > To post to this group, send email to sympy@googlegroups.com. > > Visit this group at http://groups.google.com/group/sympy. > > For more options, visit https://groups.google.com/groups/opt_out. > > > > > > -- > You received this message because you are subscribed to the Google Groups > "sympy" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to sympy+unsubscr...@googlegroups.com. > To post to this group, send email to sympy@googlegroups.com. > Visit this group at http://groups.google.com/group/sympy. > For more options, visit https://groups.google.com/groups/opt_out. > > > -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy. For more options, visit https://groups.google.com/groups/opt_out.
