A. Bondarenko

activity

20152026

most citedSpherical coverings and X-raying convex bodies of constant width

4 citations · 6 across the 12 of their papers we have counts for

collaborators

Showing 2026Show all

3 papers · 1 filter

math.NT2026

Siegel zeros and small gaps between zeros of the Riemann zeta function

Andriy Bondarenko, Winston Heap

On assuming the Riemann Hypothesis, we show that Siegel zeros imply the existence of gaps between the zeros of the Riemann zeta function less than 1/2 the normalised length. Specif…

math.MG2026

On Grünbaum's problem for symmetric configurations

Andrii Arman, Andriy Bondarenko, Andriy Prymak +1

Let $g_{n}$ be the largest number of Euclidean balls of diameter $1$ which may be needed to cover a set of diameter $1$ in $R^{n}$ . We study this problem for finite sets invar…

math.CO2026

A construction of spherical $5$ -designs with $O (d^{2})$ points

Andrii Arman, Andriy Bondarenko, Andriy Prymak +1

For every $d \geq 1$ we give an explicit equal-weight spherical $5$ -design in $S^{d - 1} \subset R^{d}$ with at most $72 d^{2}$ points. Our approach utilizes recent construc…

Siegel zeros and small gaps between zeros of the Riemann zeta function

On Grünbaum's problem for symmetric configurations

A construction of spherical 5-designs with O(d2) points

A construction of spherical $5$ -designs with $O (d^{2})$ points