Number Theory

    

On the Pointwise Periodicity of Multiplicative and Additive Functions

Authors: Theophilus Agama

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

Comments: 8 Pages.

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Submission history

[v1] 2020-05-24 08:27:48
[v2] 2020-05-27 03:46:00

Unique-IP document downloads: 264 times

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