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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.04908 |
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Table of Contents:
- Amoroso and Masser proved that for every real $ε> 0$, there exists a constant $c(ε)>0$, such that for every algebraic number $α$ with $\mathbb{Q}(α)/\mathbb{Q}$ being a Galois extension, the height of $α$ is either 0 or at least $c(ε) [\mathbb{Q}(α):\mathbb{Q}]^{-ε}$. In this article we establish an explicit version of this theorem.