English

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

Number Theory 2025-06-03 v5

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.

Keywords

Cite

@article{arxiv.1906.00419,
  title  = {A note on linear forms in two logarithms: the argument of an algebraic power},
  author = {Tomohiro Yamada},
  journal= {arXiv preprint arXiv:1906.00419},
  year   = {2025}
}

Comments

9 pages, refined and clarified some estimates, uploaded PARI-GP script, v3: corrected constants, v4: link to the latest script

R2 v1 2026-06-23T09:37:32.184Z