18 citations · 27 across the 8 of their papers we have counts for
9 papers · 1 filter
Linnik's problem for multiplicative functions
Kaisa Matomäki, Joni Teräväinen
We study a multiplicative function analogue of Linnik's problem on the least prime in an arithmetic progression. Let be a multiplica…
Low-lying zeros in families of Maass form L-functions: an extended density theorem
Martin Čech, Lucile Devin, Daniel Fiorilli +2
We study the one-level density of low-lying zeros in the family of Maass form -functions of prime level tending to infinity. Generalizing the influential work of Iwaniec, Lu…
On optimality of mollifiers
Martin Čech, Kaisa Matomäki
Mollifiers are used in a variety of contexts, for instance to study the non-vanishing of -functions. In this paper, we study the general question of finding optimal mollifiers a…
Higher uniformity of arithmetic functions in short intervals II. Almost all intervals
Kaisa Matomäki, Maksym Radziwiłł, Xuancheng Shao +2
We study higher uniformity properties of the von Mangoldt function , the Möbius function , and the divisor functions on short intervals for almost all $x \in…
The sixth moment of Dirichlet L-functions at the central point
Vorrapan Chandee, Xiannan Li, Kaisa Matomäki +1
In 1970, Huxley obtained a sharp upper bound for the sixth moment of Dirichlet -functions at the central point, averaged over primitive characters modulo and all moduli…
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…