Linear form in logarithms of algebraic numbers
= Linear form in logarithms of algebraic numbers
= Linear forms in logarithms of algebraic numbers
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= Logarithmic form
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<Baker's theorem> gives transcendence and quantitative nonvanishing results for such logarithmic forms.
A homogeneous linear form in logarithms of nonzero algebraic numbers has the form
$$
\Lambda=b_1\log\alpha_1+\cdots+b_n\log\alpha_n,
\qquad b_i\in\mathbb Z.
$$