On the number of linear forms in logarithms

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jul 2007Embargo end date: 01 Jan 2006 English Publisher:Elsevier BVJournal:Journal of Number Theory, volume 125, pages 247-253 (issn: 0022-314X,

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Authors: Lamzouri, Youness;

doi: 10.1016/j.jnt.2006.09.019 , 10.48550/arxiv.math/0609478

arXiv: math/0609478

On the number of linear forms in logarithms

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Abstract

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 $A_i,B_i\to \infty$.

8 pages

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Keywords

Algebra and Number Theory, Mathematics - Number Theory, 11N25, 05A05, FOS: Mathematics, Mathematics - Combinatorics, Number Theory (math.NT), Combinatorics (math.CO)

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