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Publication - Dr Dan Fretwell

    Smooth values of polynomials


    Bober, J, Fretwell, D, Martin, G & Wooley, T, 2019, ‘Smooth values of polynomials’. Journal of the Australian Mathematical Society.


    Given of positive degree, we investigate the existence of auxiliary polynomials for which factors as a product of polynomials of small relative degree. One consequence of this work shows that for any quadratic polynomial and any 0$]]>, there are infinitely many for which the largest prime factor of is no larger than.

    Full details in the University publications repository