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

Agama, Theophilus

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.

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