Joni Teravainen

On Elliott's conjecture and applications

Let f:N→D$f:\mathbb {N}\rightarrow \mathbb {D}$ be a multiplicative function. Under the merely necessary assumption that f$f$ is nonpretentious (in the sense of Granville and Soundararajan), we show that for any pair of distinct integer shifts h1,h2$h_1,h_2$ , the two‐point correlation 1x∑n⩽xf(n+h1)f¯(n+h2)$$\begin{equ...