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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 by shrinking intervals centered at the points , where is a given real-valued sequence and i…
math.NT2025
On the maximal volume of empty convex bodies amidst multivariate dilates of a lacunary integer sequence
Eduard Stefanescu
Let \((a_n)_{n \in \mathbb{N}}\) be a lacunary sequence of integers satisfying the Hadamard gap condition. For any fixed dimension , we establish asymptotic upper bounds…
math.NT2024
The dispersion of dilated lacunary sequences, with applications in multiplicative Diophantine approximation
Eduard Stefanescu
Let be a Hadamard lacunary sequence. We give upper bounds for the maximal gap of the set of dilates modulo 1, in terms of . For…