A. Bondarenko

activity

20032026

most citedLarge GCD sums and extreme values of the Riemann zeta function

50 citations · 236 across the 25 of their papers we have counts for

collaborators

27 papers

math.CA2026

Fourier-invariant functions with dense zero sets

Andriy Bondarenko, Kristian Seip

For every $0 \leq β \leq 1/2$ , we construct a nonzero real-valued continuous function $f_{β}$ in $L^{1} (R) \cap L^{2} (R)$ such that $f_{β} = f_{β}$ and $f_β(\sqrt{n}/[\lo…

math.NT2023★ 2 cited

A dichotomy for extreme values of zeta and Dirichlet L-functions

Andriy Bondarenko, Pranendu Darbar, Markus Valås Hagen +2

We exhibit large values of the Dedekind zeta function of a cyclotomic field on the critical line. This implies a dichotomy whereby one either has improved lower bounds for the maxi…

math.NT2020★ 1 cited

Fourier interpolation with zeros of zeta and $L$ -functions

Andriy Bondarenko, Danylo Radchenko, Kristian Seip

We construct a large family of Fourier interpolation bases for functions analytic in a strip symmetric about the real line. Interesting examples involve the nontrivial zeros of the…

math.NT2018

On certain sums over ordinates of zeta-zeros II

Andriy Bondarenko, Aleksandar Ivić, Eero Saksman +1

Let $γ$ denote the imaginary parts of complex zeros $ρ = β + iγ$ of $ζ (s)$ . The problem of analytic continuation of the function $G (s) := γ > 0 \sum γ^{- s}$ to the left of the…

math.FA2018★ 18 cited

Linear space properties of $H^{p}$ spaces of Dirichlet series

Andriy Bondarenko, Ole Fredrik Brevig, Eero Saksman +1

We study $H^{p}$ spaces of Dirichlet series, called $H^{p}$ , for the range $0 < p < \infty$ . We begin by showing that two natural ways to define $H^{p}$ coincide. We the…

math.NT2017★ 43 cited

Extreme values of the Riemann zeta function and its argument