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From: Gerry on 5 Mar 2010 15:15
Hi all,

i found a family of polynomials which can be characterized by the
following discriminant:

D(n,m)=2^(2*(4*m + m^2) + m^2*(1 - Mod[n, 2]))*(-1 + 2^m)^(-1 + m*(1 +
Mod[n, 2]))*m^(4*m)

Is there some way to find the polynomials P(n,m,x)?

Gerry
From: Gerry on 10 Mar 2010 01:06
On Mar 5, 9:15 pm, Gerry <gerry...(a)gmail.com> wrote:
> Hi all,
>
> i found a family of polynomials which can be characterized by the
> following discriminant:
>
> D(n,m)=2^(2*(4*m + m^2) + m^2*(1 - Mod[n, 2]))*(-1 + 2^m)^(-1 + m*(1 +
> Mod[n, 2]))*m^(4*m)
>
> Is there some way to find the polynomials P(n,m,x)?
>
> Gerry

I guess not.

D(n,m)=-2^(2*(4*m+m^2)+m^2*(1-Mod[n,2]))*(-1+2^m)^(-1+m*(1+Mod[n,
2]))*m^(4*m)

(sign was incorrect)

The formula only seems to work if n < m and n,m coprime.

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