K. Seip

activity

19922023

most citedThe Bohnenblust--Hille inequality for homogeneous polynomials is hypercontractive

204 citations · 749 across the 51 of their papers we have counts for

collaborators

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13 papers · 1 filter

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.NT2019

A footnote to a theorem of Halász

Éric Saïas, Kristian Seip

We study multiplicative functions $f$ satisfying $∣ f (n) ∣ \leq 1$ for all $n$ , the associated Dirichlet series $F (s) := \sum_{n = 1}^{\infty} f (n) n^{- s}$ , and the summatory function $S_f…

math.NT2018★ 5 cited

Universality and distribution of zeros and poles of some zeta functions

Kristian Seip

This paper studies zeta functions of the form $\sum_{n = 1}^{\infty} χ (n) n^{- s}$ , with $χ$ a completely multiplicative function taking only unimodular values. We denote by $σ (χ)$ th…

math.NT2017★ 43 cited

Extreme values of the Riemann zeta function and its argument

Andriy Bondarenko, Kristian Seip

We combine our version of the resonance method with certain convolution formulas for $ζ (s)$ and $lo g ζ (s)$ . This leads to a new $Ω$ result for $∣ ζ (1/2 + i t) ∣$ : The maximum of $|ζ(…

math.NT2017

Note on the resonance method for the Riemann zeta function