BooksdmsCollected Volumepp. 631–637

Reprint: An inequality for the discriminant of a polynomial (1964)

  • Kurt Mahler

Reprint: An inequality for the discriminant of a polynomial (1964) cover
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Abstract

In this paper, Mahler provides inequalities relating length (the sum of the absolute values of the coefficients), Mahler measure, discriminant and minimal distance between zeros of a polynomial. In particular, he gives an upper bound on the absolute value of the discriminant and a lower bound for the minimal distance between zeros.

Reprint of the author's paper [Mich. Math. J. 11, 257--262 (1964; Zbl 0135.01702)].