TL;DR
This paper introduces a simplified approach to establishing local uniformity of multiplicative functions on larger scales by linking frequencies to these scales, building on the work of Matomäki-Radziwill.
Contribution
It presents a new method that connects frequencies to larger scales, simplifying the derivation of local uniformity for multiplicative functions.
Findings
Provides a simpler derivation of local uniformity results
Extends the applicability of Matomäki-Radziwill results
Introduces a frequency-scale association technique
Abstract
By associating frequencies to larger scales, we provide a simpler way to derive local uniformity of multiplicative functions on average from the results of Matom\"aki-Radziwill.
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