Manuel Hauke

activity

20232026

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math.NT2026

Circle coverings driven by arithmetic sequences: a percolation approach to Diophantine approximation and fractal intersections

Manuel Hauke, Andrei Shubin, Eduard Stefanescu +1

We study problems on covering $[0, 1)$ by shrinking intervals centered at the points ${q_{n} x}$ , where $(q_{n})_{n \in N}$ is a given real-valued sequence and $x \in [0, 1)$ i…

math.NT2026

The Prime times of twisted Diophantine approximation

Manuel Hauke

The seminal work of Kurzweil (1955) provides for any fixed badly approximable $α$ and monotonically decreasing $ψ$ a Khintchine-type statement on the set of the inhomogeneous real…