On a theorem of Garza regarding algebraic numbers with real conjugates

2010/03/22 by Höhn, Gerald
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1003.4039

Abstract

We give a new and simple proof of a theorem of Garza estimating the height (or Mahler measure) of an algebraic number with real conjugates.

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• Minimal Mahler measure in real quadratic fields
• The distribution of close conjugate algebraic numbers
• Height bounds for algebraic numbers satisfying splitting conditions
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