Andriy Bondarenko

activity

20122024

most citedAn inequality of Hardy--Littlewood type for Dirichlet polynomials

26 citations · 31 across the 6 of their papers we have counts for

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math.NT2017

Note on the resonance method for the Riemann zeta function

Andriy Bondarenko, Kristian Seip

We improve Montgomery's $Ω$ -results for $∣ ζ (σ + i t) ∣$ in the strip $1/2 < σ < 1$ and give in particular lower bounds for the maximum of $∣ ζ (σ + i t) ∣$ on $T \leq t \leq T$ that are unif…

math.NT2014★ 26 cited

An inequality of Hardy--Littlewood type for Dirichlet polynomials

Andriy Bondarenko, Winston Heap, Kristian Seip

The $L^{q}$ norm of a Dirichlet polynomial $F (s) = \sum_{n = 1}^{N} a_{n} n^{- s}$ is defined as \[\| F\|_q:=(\lim_{T\to\infty}\frac{1}{T}\int_{0}^T |F(it)|^qdt)^{1/q}\] for $0 < q < \infty$ . I…