A+ CATEGORY SCIENTIFIC UNIT

A note on Laurent’s paper on linear forms in two logarithms: the argument of an algebraic power

Tomohiro Yamada Acta Arithmetica MSC: Primary 11J86 DOI: 10.4064/aa241112-2-6 Published online: 10 October 2025

Abstract

We use Laurent’s (2008) lower bound for linear forms in two logarithms to give an improved lower bound for the argument of a power of a given algebraic number which has absolute value $1$ but is not a root of unity.

Authors

  • Tomohiro YamadaCenter for Japanese Language and Culture
    The University of Osaka
    562-8678, Minoo, Osaka, Japan
    e-mail

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