Short interval results for certain prime-independent multiplicative functions

TL;DR

This paper derives an asymptotic formula for the distribution of certain prime-independent multiplicative functions using advanced techniques related to integer points near smooth curves.

Contribution

It introduces a novel approach combining recent results in geometry of numbers to analyze prime-independent multiplicative functions.

Findings

Asymptotic formula for distribution of these functions

Improved understanding of their value distribution

Application of geometric methods to number theory

Abstract

Using recent results from the theory of integer points close to smooth curves, we give an asymptotic formula for the distribution of values of a class of integer-valued prime-independent multiplicative functions.