On the Mahler measure in several variables

Francesco Amoroso (1)

1 LMNO - Laboratoire de Mathématiques Nicolas Oresme

If the total degree of a polynomial in n ≥ 2 variables of dimension n s bounded by a double exponential function in n, we show that its Mahler measure is bounded from below by an absolute constant 1.

Domaines: Théorie des nombres [math.NT]

Francesco Amoroso. On the Mahler measure in several variables. Bulletin of the London Mathematical Society, 2008, 40 (4), pp.619-630. ⟨hal-00424262⟩