Estimation of the asymptotic behavior of summation functions
Victor Volfson
TL;DR
This paper investigates the asymptotic behavior of summation functions related to additive and multiplicative arithmetic functions, including those evaluated at natural and prime arguments, providing new theoretical assertions and examples.
Contribution
It introduces new theoretical results on the asymptotics of various summation functions of arithmetic functions and their arguments, with illustrative examples.
Findings
Proved several new assertions on asymptotic behaviors.
Analyzed summation functions at natural and prime arguments.
Provided examples illustrating the theoretical results.
Abstract
The paper considers asymptotics of summation functions of additive and multiplicative arithmetic functions. We also study asymptotics of summation functions of natural and prime arguments. Several assertions on this subject are proved and examples are considered.
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Taxonomy
TopicsComputability, Logic, AI Algorithms