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 2023 · math.NTShow all

3 papers · 2 filters

math.NT2023★ 1 cited

On a Bohr set analogue of Chowla's conjecture

Joni Teräväinen, Aled Walker

Let $λ$ denote the Liouville function. We show that the logarithmic mean of $λ (⌊ α_{1} n ⌋) λ (⌊ α_{2} n ⌋)$ is $0$ whenever $α_{1}, α_{2}$ are positive reals with $α_1/α_…

math.NT2023

Gaussian almost primes in almost all narrow sectors

Olli Järviniemi, Joni Teräväinen

We show that almost all sectors of the disc ${z \in C : ∣ z ∣^{2} \leq X}$ of area $(lo g X)^{15.1}$ contain products of exactly two Gaussian primes, and that almost all secto…

math.NT2023

Products of primes in arithmetic progressions

Kaisa Matomäki, Joni Teräväinen

A conjecture of Erdős states that, for any large prime $q$ , every reduced residue class $(mod q)$ can be represented as a product $p_{1} p_{2}$ of two primes $p_{1}, p_{2} \leq q$ . We establi…