50 citations · 236 across the 25 of their papers we have counts for
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Helson's problem for sums of a random multiplicative function
Andriy Bondarenko, Kristian Seip
We consider the random functions , where is the completely multiplicative random function generated by independent Steinhaus variables . It…
Non-existence of (76,30,8,14) strongly regular graph
A. V. Bondarenko, A. Prymak, D. Radchenko
We prove the non-existence of strongly regular graph with parameters . We use Euclidean representation of a strongly regular graph together with a new lower bound on…
An inequality of Hardy--Littlewood type for Dirichlet polynomials
Andriy Bondarenko, Winston Heap, Kristian Seip
The norm of a Dirichlet polynomial is defined as \[\| F\|_q:=(\lim_{T\to\infty}\frac{1}{T}\int_{0}^T |F(it)|^qdt)^{1/q}\] for . I…
On concentrators and related approximation constants
A. V. Bondarenko, A. Prymak, D. Radchenko
Pippenger ([Pippenger, 1977]) showed the existence of -concentrator for each positive integer using a probabilistic method. We generalize his approach and prove e…
GCD sums and complete sets of square-free numbers
Andriy Bondarenko, Kristian Seip
It is proved that \[ \sum_{k,{\ell}=1}^N\frac{\gcd(n_k,n_{\ell})}{\sqrt{n_k n_{\ell}}} \ll N\exp\left(C\sqrt{\frac{\log N \log\log\log N}{\log\log N}}\right) \] holds for arbitrary…