A kit for linear forms in three logarithms
Number Theory
2023-10-02 v3
Abstract
We provide a technique to obtain explicit bounds for problems that can be reduced to linear forms in three complex logarithms of algebraic numbers. This technique can produce bounds significantly better than general results on lower bounds for linear forms in logarithms. We give worked examples to demonstrate both the use of our technique and the improvements it provides. Publicly shared code is also available.
Cite
@article{arxiv.2205.08899,
title = {A kit for linear forms in three logarithms},
author = {Maurice Mignotte and Paul Voutier},
journal= {arXiv preprint arXiv:2205.08899},
year = {2023}
}
Comments
Version accepted by Math. Comp