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Heights of roots of polynomials with odd coefficients

J. Garza, M. I. M. Ishak, M. J. Mossinghoff, C. G. Pinner, B. Wiles (2010)

Journal de Théorie des Nombres de Bordeaux

Let α be a zero of a polynomial of degree n with odd coefficients, with α not a root of unity. We show that the height of α satisfies h ( α ) ≥ 0 . 4278 n + 1 . More generally, we obtain bounds when the coefficients are all congruent to 1 modulo m for some m ≥ 2 .

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