Joni Teräväinen

activity

20152026

most citedThe structure of logarithmically averaged correlations of multiplicative functions, with applications to the Chowla and Elliott conjectures

38 citations · 177 across the 23 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.NT2017★ 23 cited

Odd order cases of the logarithmically averaged Chowla conjecture

Terence Tao, Joni Teräväinen

A famous conjecture of Chowla states that the Liouville function $λ (n)$ has negligible correlations with its shifts. Recently, the authors established a weak form of the logarithmi…

math.NT2017★ 12 cited

On binary correlations of multiplicative functions

Joni Teräväinen

We study logarithmically averaged binary correlations of bounded multiplicative functions $g_{1}$ and $g_{2}$ . A breakthrough on these correlations was made by Tao, who showed that the…

math.NT2017★ 38 cited

The structure of logarithmically averaged correlations of multiplicative functions, with applications to the Chowla and Elliott conjectures

Terence Tao, Joni Teräväinen

Let $g_{0}, \dots, g_{k} : N \to D$ be $1$ -bounded multiplicative functions, and let $h_{0}, \dots, h_{k} \in Z$ be shifts. We consider correlation sequences $f: {\bf N} \to {…