论文标题
一些非理性数字的线性独立性
Linear Independence Of Some Irrational Numbers
论文作者
论文摘要
本说明提出了一种分析技术，用于证明在理性数字上，实数的某些小基集的线性独立性。该测试的应用为三元组$ \ {1，e，π\} $，$ \ {1，e，π^{ - 1} \} $和$ \ {1，π^r，π^s \} $，其中$ 1 \ leq leq req r <s rec nesegers提供了简单的线性独立性证明。
This note presents an analytic technique for proving the linear independence of certain small subsets of real numbers over the rational numbers. The applications of this test produce simple linear independence proofs for the subsets of triples $\{1, e, π\}$, $\{1, e, π^{-1}\}$, and $\{1, π^r, π^s\}$, where $1\leq r<s $ are fixed integers.
