论文标题
liouville功能和正常数字的符号模式的等分分配
Equidistributions of Sign Patterns of the Liouville Function and Normal Numbers
论文作者
论文摘要
liouville函数$λ$的双重标志模式的等分被无条件地证明。作为应用程序,显示可计算的实际数量$$ \ sum_ {n \ geq 1} \ frac {1+λ(n)} {2^{n}} $$在基本4中是一个正常的数字。
The equidistribution of the double sign patterns of the Liouville function $λ$ is proved unconditionally. As application, it is shown that the computable real number $$\sum_{n \geq 1} \frac{1+λ(n)}{2^{n}}$$ is a simply normal number in base 4.