Linear correlations of multiplicative functions
arXiv:1606.04482 · doi:10.1112/plms.12309
Abstract
We prove a Green--Tao theorem for multiplicative functions.
60 pages; final version
References in corpus (8)
- Correlations of multiplicative functions and applications
- A new proof of Halász's Theorem, and its consequences
- Correlations of the von Mangoldt and higher divisor functions I. Long shift ranges
- Asymptotics for multilinear averages of multiplicative functions
- On triple correlations of divisor functions
- Harmonic Analysis on the Positive Rationals II: Multiplicative Functions and Maass Forms
- Effective Asymptotic Formulae for Multilinear Averages of Multiplicative Functions
- A Strengthening of Theorems of Halász and Wirsing
Cited by in corpus (10)
- Correlations of the von Mangoldt and higher divisor functions I. Long shift ranges
- Higher uniformity of arithmetic functions in short intervals I. All intervals
- Combinatorial identities and Titchmarsh's divisor problem for multiplicative functions
- On the Liouville function at polynomial arguments
- Effective Asymptotic Formulae for Multilinear Averages of Multiplicative Functions
- On Furstenberg systems of aperiodic multiplicative functions of Matomaki, Radziwill and Tao
- Correlations of the von Mangoldt and higher divisor functions II. Divisor correlations in short ranges
- On averages of completely multiplicative functions over co-prime integer pairs
- Smooth numbers are orthogonal to nilsequences
- Weyl sums with multiplicative coefficients and joint equidistribution