arXiv Analytics

Sign in

arXiv:math/0609478 [math.NT]AbstractReferencesReviewsResources

On the number of linear forms in logarithms

Youness Lamzouri

Published 2006-09-17, updated 2008-10-21Version 2

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 $A_i,B_i\to \infty$.

Comments: 8 pages
Journal: Journal of Number Theory, 125 (2007), 247-253
Categories: math.NT, math.CO
Subjects: 11N25, 05A05
Related articles: Most relevant | Search more
arXiv:2205.08899 [math.NT] (Published 2022-05-18)
A kit for linear forms in three logarithms
arXiv:1011.4600 [math.NT] (Published 2010-11-20, updated 2011-03-24)
Higher-order Fourier analysis of $\mathbb{F}_p^n$ and the complexity of systems of linear forms
arXiv:1403.7703 [math.NT] (Published 2014-03-30, updated 2014-05-07)
General systems of linear forms: equidistribution and true complexity

Links

Toolbox