38 citations · 177 across the 23 of their papers we have counts for
4 papers · 2 filters
On the Hardy-Littlewood-Chowla conjecture on average
Jared Duker Lichtman, Joni Teräväinen
There has been recent interest in a hybrid form of the celebrated conjectures of Hardy-Littlewood and of Chowla. We prove that for any and distinct integers $h_2,\ldot…
The Hardy--Littlewood--Chowla conjecture in the presence of a Siegel zero
Terence Tao, Joni Teräväinen
Assuming that Siegel zeros exist, we prove a hybrid version of the Chowla and Hardy--Littlewood prime tuples conjectures. Thus, for an infinite sequence of natural numbers , and…
Quantitative bounds for Gowers uniformity of the Möbius and von Mangoldt functions
Terence Tao, Joni Teräväinen
We establish quantitative bounds on the Gowers norms of the Möbius function and the von Mangoldt function for all , with error terms of shape $O((\log\log N)^{-…
A transference principle for systems of linear equations, and applications to almost twin primes
Pierre-Yves Bienvenu, Xuancheng Shao, Joni Teräväinen
The transference principle of Green and Tao enabled various authors to transfer Szemerédi's theorem on long arithmetic progressions in dense sets to various sparse sets of integers…