On the number of linear forms in logarithms

Details On the number of linear forms in logarithms On the number of linear forms in logarithms

2006-09-17

arxiv.org/abs/math/0609478v2

Journal of Number Theory, 125 (2007), 247-253

Mathematics

Number Theory

8 pages

Scientific paper

Let $n$ be a positive integer. In this paper we estimate the size of the set
of linear forms $b_1\log a_1 + b_2\log a_2+...+b_n\log a_n$, where $|b_i|\leq
B_i$ and $1\leq a_i\leq A_i$ are integers, as $A_i,B_i\to
\infty$.

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