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Bulletin of the London Mathematical Society Advance Access originally published online on May 21, 2008
Bulletin of the London Mathematical Society 2008 40(4):619-630; doi:10.1112/blms/bdn041
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© 2008 London Mathematical Society

On the Mahler measure in several variables

Francesco Amoroso

Laboratoire de mathématiques Nicolas Oresme
CNRS UMR 6139
Université de Caen
Campus II, BP 5186
14032 Caen Cédex
France

Received 5 July 2007. Revision received 29 January 2008.

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

2000 Mathematics Subject Classification 11G50, 11J81, 14G40.


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