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Transposing Noninvertible Polynomials, Nathan Cordner

Library Research Grants

In the class of invertible polynomials, the notion of dual polynomials W and W^T, as well as dual groups G and G^T is well-understood. In this paper we investigate finding dual pairs W and W^T for noninvertible polynomials. We find that in many instances, our intuition that stems from invertible polynomials does not extend to the noninvertible case.