Kaisa Matomaki

activity

20152024

most citedA note on the Liouville function in short intervals

18 citations · 27 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2024

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 $L$ -functions at the central point, averaged over primitive characters $χ$ modulo $q$ and all moduli…

math.NT2019★ 9 cited

Discorrelation between primes in short intervals and polynomial phases

Kaisa Matomäki, Xuancheng Shao

Let $H = N^{θ}, θ > 2/3$ and $k \geq 1$ . We obtain estimates for the following exponential sum over primes in short intervals: \[ \sum_{N < n \leq N+H} Λ(n) e(g(n)), \] where $g$ is a…

math.NT2015★ 18 cited

A note on the Liouville function in short intervals

Kaisa Matomäki, Maksym Radziwiłł

In this note we give a short and self-contained proof that, for any $δ > 0$ , $\sum_{x \leq n \leq x + x^{δ}} λ (n) = o (x^{δ})$ for almost all $x \in [X, 2 X]$ . We also sketch a proof of a g…