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    princeps Posts: 5, Reputation: 1
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    Nov 23, 2011, 12:18 AM
    Are these polynomials irreducible over Z ?
    Is it true that polynomials of the form :



    where , , is odd number , , and

    are irreducible over the ring of integers ?

    Note that general form of is :



    Eisenstein's criterion , Cohn's criterion , and Perron's criterion cannot be applied to the polynomials of this form.

    Example :

    The polynomial is irreducible over the integers but none of the criteria above can be applied on this polynomial.

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