Re: Thue equations

Charles Greathouse on Fri, 14 Nov 2014 17:07:33 +0100

Re: Thue equations

To: pari-dev@pari.math.u-bordeaux.fr
Subject: Re: Thue equations
From: Charles Greathouse <charles.greathouse@case.edu>
Date: Fri, 14 Nov 2014 11:06:49 -0500
Delivery-date: Fri, 14 Nov 2014 17:07:33 +0100
In-reply-to: <CAD0p0K4OHVtxCVEDm5w6yV=cqT5uZyEcDdz7JNWyU=95rOT9tA@mail.gmail.com>
References: <CAD0p0K4OHVtxCVEDm5w6yV=cqT5uZyEcDdz7JNWyU=95rOT9tA@mail.gmail.com>

I don't know if PARI can give solutions with S-units, but thue/thueinit solve Thue equations.

thue(x^3-7*x^2+x+1,8)

lists the solutions to x^3 - 7x^2y + xy^2 + y^3 = 8.

Charles Greathouse
Analyst/Programmer
Case Western Reserve University

On Fri, Nov 14, 2014 at 10:54 AM, John Cremona <john.cremona@gmail.com> wrote:

What method would pari/gp use to solve a (cubic) Thue equation?
S-units? Is this documented?

John

References:
- Thue equations
  - From: John Cremona <john.cremona@gmail.com>