Kaisa Matomäki

most citedMultiplicative functions in short intervals II

5 citations · 5 across the 2 of their papers we have counts for

collaborators

2 papers

math.NT2020★ 5 cited

Multiplicative functions in short intervals II

Kaisa Matomäki, Maksym Radziwiłł

We determine the behavior of multiplicative functions vanishing at a positive proportion of prime numbers in almost all short intervals. Furthermore we quantify "almost all" with u…

math.NT2018

Fourier uniformity of bounded multiplicative functions in short intervals on average

Kaisa Matomäki, Maksym Radziwiłł, Terence Tao

Let $λ$ denote the Liouville function. We show that as $X \to \infty$ , $\int_{X}^{2 X} α sup x < n \leq x + H \sum λ (n) e (- α n) d x = o (X H)$ for all…