Linear correlations of multiplicative functions
Lilian Matthiesen
TL;DR
This paper extends the Green--Tao theorem to multiplicative functions, establishing linear correlations and revealing new insights into their distribution and structure.
Contribution
It introduces a novel proof of the Green--Tao theorem specifically for multiplicative functions, advancing understanding of their linear correlations.
Findings
Established linear correlations for multiplicative functions
Extended Green--Tao theorem to a new class of functions
Provided new tools for analyzing multiplicative functions
Abstract
We prove a Green--Tao theorem for multiplicative functions.
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