On a theorem of Garza regarding algebraic numbers with real conjugates

TL;DR

This paper presents a new, simplified proof of Garza's theorem that estimates the height of algebraic numbers with all real conjugates, contributing to number theory and algebraic number analysis.

Contribution

The paper introduces a more straightforward proof of Garza's theorem, enhancing understanding and accessibility of height estimates for algebraic numbers with real conjugates.

Findings

Simplified proof of Garza's theorem

Improved understanding of height estimates

Potential applications in algebraic number theory

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.