On the linear independence measure of logarithms of rational numbers
On the linear independence measure of logarithms of rational numbers
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DOI：
10.1090/s0025-5718-02-01442-4
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发表时间：
2003-04
期刊：
影响因子：
--
通讯作者：
Qiang Wu
中科院分区：
文献类型：
--
作者：
Qiang Wu
在本文中，我们给出了有理数对数的线性独立性测度的一般定理，特别是 1、log 2、log 3、log 5 和 1、log 2、log 3、log 5、log 7 的线性独立性测度。我们还给出了一种在实区间 [a,b] 上搜索最小范数多项式的方法，该方法可能适合于计算或改进有理数对数的线性独立性测度。
In this paper we give a general theorem on the linear independence measure of logarithms of rational numbers and, in particular, the linear independence measure of 1, log 2, log 3, log 5 and of 1, log 2, log 3, log 5, log 7. We also give a method to search for polynomials of smallest norm on a real interval [a,b] which may be suitable for computing or improving the linear independence measure of logarithms of rational numbers.