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arXiv · 2205.08899

A kit for linear forms in three logarithms

Maurice Mignotte·Paul Voutier
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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.

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Maurice Mignotte, Paul Voutier. 2022-05-18. A kit for linear forms in three logarithms. https://arxiv.org/abs/2205.08899

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