Explicit Bounds for Linear Forms in the Exponentials of Algebraic Numbers

Cheng-Chao Huang

In this paper, we study linear forms \[λ= β_1\mathrm{e}^{α_1}+\cdots+β_m\mathrm{e}^{α_m},\] where ${\alpha }_i$ and ${\beta }_i$ are algebraic numbers. An explicit lower bound for the absolute va…