Maksym Radziwill

activity

20092026

most citedAn averaged form of Chowla's conjecture

132 citations · 469 across the 54 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.NT2017★ 2 cited

Correlations of the von Mangoldt and higher divisor functions II. Divisor correlations in short ranges

Kaisa Matomäki, Maksym Radziwiłł, Terence Tao

We study the problem of obtaining asymptotic formulas for the sums $\sum_{X < n \leq 2 X} d_{k} (n) d_{l} (n + h)$ and $\sum_{X < n \leq 2 X} Λ (n) d_{k} (n + h)$ , where $Λ$ is the von Mangoldt fu…

math.NT2017★ 22 cited

Correlations of the von Mangoldt and higher divisor functions I. Long shift ranges

Kaisa Matomäki, Maksym Radziwiłł, Terence Tao

We show that the expected asymptotic for the sums $\sum_{X < n \leq 2 X} Λ (n) Λ (n + h)$ , $\sum_{X < n \leq 2 X} d_{k} (n) d_{l} (n + h)$ , and $\sum_{X < n \leq 2 X} Λ (n) d_{k} (n + h)$ hold for almo…