# A note on linear forms in two logarithms: the argument of an algebraic power

## TL;DR

This paper improves the lower bounds for the argument of algebraic numbers with absolute value one that are not roots of unity, advancing understanding in transcendence theory and algebraic number theory.

## Contribution

It provides an enhanced lower bound estimate for the argument of algebraic powers, refining previous results in the field.

## Key findings

- New lower bound for the argument of algebraic numbers with absolute value one.
- Enhanced understanding of linear forms in two logarithms.
- Implications for transcendence and algebraic independence.

## Abstract

In this note, we shall give an improved lower bound for the argument of a power of a given algebraic number which has absolute value one but is not a root of unity.