Joni Teräväinen

most citedOn a Bohr set analogue of Chowla's conjecture

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.DS2023

On the local Fourier uniformity problem for small sets

Adam Kanigowski, Mariusz Lemańczyk, Florian Karl Richter +1

We consider vanishing properties of exponential sums of the Liouville function $λ$ of the form $$ \lim_{H\to\infty}\limsup_{X\to\infty}\frac{1}{\log X}\sum_{m\leq X}\frac{1}{m}\sup…

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…