|Bill Allombert on Wed, 09 Nov 2011 23:55:09 +0100|
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|Re: pour s'abonner|
On Wed, Nov 09, 2011 at 11:54:43PM +0530, angshuman karmakar wrote: > I am asking about is there any way to solve Generalized Pell's Equation i.e > equations of the form x^2-Dy^2=N where D is a square free positive integer, > In PARI. As I said. You can do it using bnfisintnorm. Here an example: To solve x^2-17*y^2=59 ? bnfisintnorm(bnfinit(x^2-17),59) %3 = [5*x + 22, -11*x - 46] So the solutions (modulo units of positive norms) are x=22,y=5 and x=46,y=11 indeed 22^2-17*5^2 = 59 and 46^2-17*11^2 = 59 Cheers, Bill.