Maksym Radziwill

activity

20112026

most citedA note on the Liouville function in short intervals

18 citations · 31 across the 21 of their papers we have counts for

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Showing 2024Show all

4 papers · 1 filter

math.NT2024

Higher uniformity of arithmetic functions in short intervals II. Almost all intervals

Kaisa Matomäki, Maksym Radziwiłł, Xuancheng Shao +2

We study higher uniformity properties of the von Mangoldt function $Λ$ , the Möbius function $μ$ , and the divisor functions $d_{k}$ on short intervals $(x, x + H]$ for almost all $x \in…

math.DS2024

Horocycle flow at product of two primes

Giovanni Forni, Adam Kanigowski, Maksym Radziwiłł

We show that if $Γ$ is a co-compact arithmetic lattice in $S L (2, R)$ or $Γ = S L (2, Z)$ then the horocycle orbit of every non-periodic point $x \in S L (2, R) /Γ$ …

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.NT2024

Gap distribution of $n mod 1$ and the circle method

Maksym Radziwiłł, Niclas Technau

The distribution of the properly renormalized gaps of $n mod 1$ with $n < N$ converges (when $N \to \infty$ ) to a non-standard limit distribution, as Elk…

Higher uniformity of arithmetic functions in short intervals II. Almost all intervals

Horocycle flow at product of two primes

The sixth moment of Dirichlet L-functions at the central point

Gap distribution of n​mod1 and the circle method

Gap distribution of $n mod 1$ and the circle method