Vjekoslav Kovavc

collaborators

9 papers

math.CA2026

Rectangles, triangles and SchrÃ¶dinger waves

Jonathan Bennett, Vjekoslav KovaÄ, Shohei Nakamura +1

Can a finite set of lattice points determine many rectangles and few isosceles triangles? This turns out to be a surprisingly interesting question in combinatorial geometry that we…

math.CA2026

On hyperbolic corners and unit-area triangles in planar sets of large measure

Aleksandar Bulj, Vjekoslav KovaÄ

For large $R$ , we consider measurable sets $A \subseteq [0, R]^{2}$ that avoid triples of points of the form $(x, y)$ , $(x + t, y)$ , $(x, y + 1/ t)$ with $x, y \in R$ and $t > 0$ , i.e., th…

math.CA2026

A Banach space that distinguishes two maximal operators

Vjekoslav KovaÄ

Maz'ya and Shaposhnikova introduced a non-classical maximal operator $M^{⋄}$ as the maximal convolution with the vector-valued signum kernel truncated to centered balls. We co…

math.CA2026

Near-optimal density theorems for large dilates of large point configurations

Vjekoslav KovaÄ, Adian Anibal Santos SepÄiÄ

We study density thresholds that force a measurable set $E \subseteq R^{d}$ to contain all sufficiently large similar copies of every $n$ -point configuration. We prove a lower…

math.CA2026

Sharp variational inequalities for the Hardy-Littlewood maximal operator on finite undirected graphs

We study sharp $p$ -variational inequalities for the Hardy-Littlewood maximal operator on complete graphs, answering in the affirmative a question by Feng Liu and Qingying Xue. We a…

math.NT2026

On the number of divisors of Mersenne numbers

Vjekoslav KovaÄ, Florian Luca

Denote $f (n) := \sum_{1 \leq k \leq n} I ¨ (2^{k} - 1)$ , where $I ¨ $ is the number of divisors function. Motivated by a question of Paul ErdÅs, we show that the sequence of ratios $f (2 n) / f (n)$ …