Reprint: On some inequalities for polynomials in several variables (1962)
Documenta mathematica, Mahler Selecta (2019), pp. 619-623.

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In the theory of transcendental numbers, frequent use is made of a certain inequality which establishes a lower bound for the height of a product of polynomials in terms of the heights of the factors. A particularly general and accurate form of this inequality was proved by A. O. Gelfond. In this note, Mahler gives a new proof for Gelfond's formula and also shows a similar, but simpler, inequality for the length of a product of polynomials. \par Reprint of the author's paper [J. Lond. Math. Soc. 37, 341--344 (1962; Zbl 0105.06301)].
Classification : 11-03, 11J25, 11J81
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     author = {Mahler, Kurt},
     title = {Reprint: {On} some inequalities for polynomials in several variables (1962)},
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Mahler, Kurt. Reprint: On some inequalities for polynomials in several variables (1962). Documenta mathematica, Mahler Selecta (2019), pp. 619-623. http://geodesic.mathdoc.fr/item/DOCMA_2019__S1__a35/