On the simplest sextic fields and related Thue equations

Details On the simplest sextic fields and related Thue equations On the simplest sextic fields and related Thue equations

2010-04-13

arxiv.org/abs/1004.2193v2

Mathematics

Number Theory

12 pages, 2 tables

Scientific paper

We consider the parametric family of sextic Thue equations \[
x^6-2mx^5y-5(m+3)x^4y^2-20x^3y^3+5mx^2y^4+2(m+3)xy^5+y^6=\lambda \] where
$m\in\mathbb{Z}$ is an integer and $\lambda$ is a divisor of $27(m^2+3m+9)$. We
show that the only solutions to the equations are the trivial ones with
$xy(x+y)(x-y)(x+2y)(2x+y)=0$.

Affiliated with

Also associated with

No associations

Rating

On the simplest sextic fields and related Thue equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the simplest sextic fields and related Thue equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the simplest sextic fields and related Thue equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-282543