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Re: Test for Irreducibility of certain polynomials with

  • To: mathgroup at smc.vnet.net
  • Subject: [mg85499] Re: Test for Irreducibility of certain polynomials with
  • From: dh <dh at metrohm.ch>
  • Date: Wed, 13 Feb 2008 04:05:25 -0500 (EST)
  • References: <fopa0n$afs$1@smc.vnet.net>


Hi Guillermo,

how can you determine if a polynomial is irreducible if the coefficients 

are unknown? It seems to me that you have to specify d before you can 

say if it is irreducible.

hope this helps, Daniel



Guillermo Pineda Villavicencio wrote:

> Hi there,

> 

>  I want to test the irreducibility of the following polynomials of

> degree r with Mathematica. 

> 

> H[x_,d_] := Sum[(-d + 1)^(j)*Binomial[r - j, j]*x^(r - 2*j), {j, 0, (r -

> 1)/2}]

> 

>  I use the Mathematica function

> 

>  

> IrreducibleQ[p_?PolynomialQ,Modulus->m_]:=Module[{f=FactorList[p,Modulus->m]},

>     Total[Last/@DeleteCases[f,{_Integer,_Integer}]]==1

>   ]

> 

>  But I want Mathematica to consider H[x,d] as a function in x (not in x

> and d). Is it possible???

> 

>  Best regards,

> Guillermo

> 




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