Maksym Radziwill

activity

20112026

most citedA note on the Liouville function in short intervals

18 citations · 34 across the 24 of their papers we have counts for

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Showing 2021 · math.NTShow all

4 papers · 2 filters

math.NT2021

Bias in cubic Gauss sums: Patterson's conjecture

Alexander Dunn, Maksym Radziwiłł

Let $W$ be a smooth test function with compact support in $(0, \infty)$ . Conditional on the Generalized Riemann Hypothesis for Hecke $L$ -functions over $Q (ω)$ , we prove tha…

math.NT2021

Small gaps in the spectrum of tori: asymptotic formulae

Valentin Blomer, Maksym Radziwiłł

We establish an asymptotic formula, uniformly down to the Planck scale, for the number of small gaps between the first N eigenvalues of the Laplacian on almost all flat tori and al…

math.NT2021

Singmaster's conjecture in the interior of Pascal's triangle

Kaisa Matomäki, Maksym Radziwiłł, Xuancheng Shao +2

Singmaster's conjecture asserts that every natural number greater than one occurs at most a bounded number of times in Pascal's triangle; that is, for any natural number $t \geq 2$ …

math.NT2021★ 3 cited

Expansion, divisibility and parity

Harald Andrés Helfgott, Maksym Radziwiłł

Let $P \subset [H_{0}, H]$ be a set of primes, where $lo g H_{0} \geq (lo g H)^{2/3 + ε}$ . Let $L = \sum_{p \in P} 1/ p$ . Let $N$ be such that $\log H \leq (\…