2 citations · 3 across the 5 of their papers we have counts for
5 papers
A note on zero density results implying large value estimates for Dirichlet polynomials
Kaisa Matomäki, Joni Teräväinen
In this note we investigate connections between zero density estimates for the Riemann zeta function and large value estimates for Dirichlet polynomials. It is well known that esti…
Primes in arithmetic progressions and short intervals without -functions
Kaisa Matomäki, Jori Merikoski, Joni Teräväinen
We develop a sieve that can detect primes in multiplicatively structured sets under certain conditions. We apply it to obtain a new -function free proof of Linnik's problem of b…
On Elliott's conjecture and applications
Oleksiy Klurman, Alexander P. Mangerel, Joni Teräväinen
Let be a multiplicative function. Under the merely necessary assumption that is non-pretentious (in the sense of Granville and Soundararajan), we s…
On a Bohr set analogue of Chowla's conjecture
Joni Teräväinen, Aled Walker
Let denote the Liouville function. We show that the logarithmic mean of is whenever are positive reals with $α_1/α_…
The Exceptional Set in Goldbach's Problem with Almost Twin Primes
Lasse Grimmelt, Joni Teräväinen
We consider the exceptional set in the binary Goldbach problem for sums of two almost twin primes. Our main result is a power-saving bound for the exceptional set in the problem of…