Inequalities for multiplicative arithmetic functions
Jozsef Sandor
TL;DR
This paper investigates inequalities related to multiplicative arithmetic functions, exploring properties like submultiplicativity and homogeneity, and discusses applications to classical arithmetic functions.
Contribution
It introduces new inequalities for multiplicative functions and applies these results to well-known arithmetic functions, advancing theoretical understanding.
Findings
Derived inequalities for multiplicative functions
Identified applications to classical arithmetic functions
Enhanced theoretical framework for inequalities
Abstract
We study arithmetic inequalities for multiplicative, sub(super)-multiplicative, sub(super)-homogeneous functions. Applications for the classical arithmetic functions are pointed out.
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Taxonomy
TopicsAnalytic Number Theory Research · Mathematics and Applications · Mathematical and Theoretical Analysis