论文标题
关于乘法和加性功能的点周期性
On the pointwise periodicity of multiplicative and additive functions
论文作者
论文摘要
我们研究了在给定的乘法函数下,在整数上估算理想化差距的重点的问题$ g:\ mathbb {n} \ longrightArrow \ Mathbb {c} $ airsperive $ f:\ mathbb {n} \ longrightArrow \ mathbb {c} $ f:\ mathbb {n}根据周期的长度,我们获得了各种下限,这是通过改变其连续值比率最差的增长率。
We study the problem of estimating the number of points of coincidences of an idealized gap on the set of integers under a given multiplicative function $g:\mathbb{N}\longrightarrow \mathbb{C}$ respectively additive function $f:\mathbb{N}\longrightarrow \mathbb{C}$. We obtain various lower bounds depending on the length of the period, by varying the worst growth rates of the ratios of their consecutive values.