Re: Thue equations

Bill Allombert on Fri, 14 Nov 2014 17:15:29 +0100

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Re: Thue equations

To: pari-dev@pari.math.u-bordeaux.fr
Subject: Re: Thue equations
From: Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>
Date: Fri, 14 Nov 2014 17:15:17 +0100
Delivery-date: Fri, 14 Nov 2014 17:15:29 +0100
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On Fri, Nov 14, 2014 at 03:54:39PM +0000, John Cremona wrote:
> What method would pari/gp use to solve  a (cubic) Thue equation?
> S-units?  Is this documented?

The algorithm used by thue() is described in Guillaume  Hanrot theis and
published in "Thue Equations of High Degree", by Yu. Bilu and G. Hanrot, J.
Number Theory (1996)

I do not think it is using S-unit. Also it is not specific to degree 3.

Cheers,
Bill.

Follow-Ups:
- Re: Thue equations
  - From: Guillaume Hanrot <Guillaume.Hanrot@ens-lyon.fr>

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

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