5 papers
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…
Higher uniformity of arithmetic functions in short intervals II. Almost all intervals
Kaisa Matomäki, Maksym RadziwiÅÅ, 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 \…
On optimality of mollifiers
Martin Äech, 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…
Low-lying zeros in families of Maass form L-functions: an extended density theorem
Martin Äech, 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…
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…