Geodesic
Reprint: An inequality for the discriminant of a polynomial (1964)
Documenta mathematica, Mahler Selecta (2019), pp. 631-637.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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. \par Reprint of the author's paper [Mich. Math. J. 11, 257--262 (1964; Zbl 0135.01702)].
Classification : 11-03, 11J25, 11J81 
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     author = {Mahler, Kurt},
     title = {Reprint: {An} inequality for the discriminant of a polynomial (1964)},
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Mahler, Kurt. Reprint: An inequality for the discriminant of a polynomial (1964). Documenta mathematica, Mahler Selecta (2019), pp. 631-637. http://geodesic.mathdoc.fr/item/DOCMA_2019__S1__a37/