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arXiv · 2005.13217

On the pointwise periodicity of multiplicative and additive functions

Theophilus Agama
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Abstract

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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Theophilus Agama. 2020-05-27. On the pointwise periodicity of multiplicative and additive functions. https://arxiv.org/abs/2005.13217

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