18 citations · 34 across the 24 of their papers we have counts for
4 papers · 2 filters
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…
Higher uniformity of bounded multiplicative functions in short intervals on average
Kaisa Matomäki, Maksym Radziwiłł, Terence Tao +2
Let denote the Liouville function. We show that, as , $$\int_{X}^{2X} \sup_{\substack{P(Y)\in \mathbb{R}[Y]\\ deg(P)\leq k}} \Big | \sum_{x \leq n \leq x…
On the variance of squarefree integers in short intervals and arithmetic progressions
Ofir Gorodetsky, Kaisa Matomäki, Maksym Radziwiłł +1
We evaluate asymptotically the variance of the number of squarefree integers up to in short intervals of length and the variance of the number of s…
One-level density estimates for Dirichlet L-functions with extended support
Sary Drappeau, Kyle Pratt, Maksym Radziwiłł
We estimate the -level density of low-lying zeros of with ranging over primitive Dirichlet characters of conductor and for test functions whose Fourie…