Author

O. Klurman

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Open access Apr 2023

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...

O. Klurman, Alexander P. Mangerel, Joni Teravainen · Proceedings of the London Ma... · 9 citations · ⚡5

Open access Sep 2026

On Elliott's conjecture and applications

Let be a multiplicative function. Under the merely necessary assumption that is nonpretentious (in the sense of Granville and Soundararajan), we show that for any pair of distinct integer shifts , the two‐point correlation tends to 0 along a set of of full upper logarithmic density. We also show that the same re...

O. Klurman, Alexander P. Mangerel, Joni Teräväinen · Proceedings of the London Ma... · 0 citations