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

Showing 2015 · math.NTShow all

2 papers · 2 filters

math.NT2015★ 8 cited

Gál-type GCD sums beyond the critical line

Andriy Bondarenko, Titus Hilberdink, Kristian Seip

We prove that \[ \sum_{k,{\ell}=1}^N\frac{(n_k,n_{\ell})^{2α}}{(n_k n_{\ell})^α} \ll N^{2-2α} (\log N)^{b(α)} \] holds for arbitrary integers $1 \leq n_{1} < \dots < n_{N}$ and $0 < α < 1/2$ …

math.NT2015★ 50 cited

Large GCD sums and extreme values of the Riemann zeta function

Andriy Bondarenko, Kristian Seip

It is shown that the maximum of $∣ ζ (1/2 + i t) ∣$ on the interval $T^{1/2} \leq t \leq T$ is at least $exp ((1/ 2 + o (1)) lo g T lo g lo g lo g T / lo g lo g T)$ . Our pro…