38 citations · 177 across the 23 of their papers we have counts for
4 papers · 2 filters
On the Liouville function at polynomial arguments
Joni Teräväinen
Let denote the Liouville function. A problem posed by Chowla and by Cassaigne-Ferenczi-Mauduit-Rivat-Sárközy asks to show that if , then the sequence $λ(…
Composite values of shifted exponentials
Olli Järviniemi, Joni Teräväinen
A well-known open problem asks to show that is composite for almost all values of . This was proposed by Gil Kalai as a possible Polymath project, and was posed original…
Correlations of multiplicative functions in function fields
Oleksiy Klurman, Alexander P. Mangerel, Joni Teräväinen
We develop an approach to study character sums, weighted by a multiplicative function , of the form \begin{equation} \sum_{G\in \mathcal{M}_N}f(G)χ(G)ξ(G)…
The Bombieri-Vinogradov theorem for nilsequences
Xuancheng Shao, Joni Teräväinen
We establish results of Bombieri-Vinogradov type for the von Mangoldt function twisted by a nilsequence. In particular, we obtain Bombieri-Vinogradov type results for the vo…