• Sampling on Quasicrystals 

      Grepstad, Sigrid (Master thesis, 2011)
      We prove that quasicrystals are universal sets of stable sampling in any dimension. Necessary and sufficient density conditions for stable sampling and interpolation sets in one dimension are studied in detail.
    • Some Improved Estimates in the Dirichlet Divisor Problem from Bourgain's Exponent Pair 

      Teklehaymanot, Nigus Girmay (Master thesis, 2018)
      The thesis work is a survey of recent developments on the famous error terms in the Dirichlet divisor problem. We consider the power moments of the Riemann zeta-function in the critical strip and we managed to obtain some ...
    • The multiplicative Hilbert matrix 

      Brevig, Ole Fredrik; Perfekt, Karl-Mikael; Seip, Kristian; Siskakis, Aristomenis; Vukotic, Dragan (Journal article; Peer reviewed, 2016)
    • The Sidon Constant for Ordinary Dirichlet Series 

      Brevig, Ole Fredrik (Master thesis, 2013)
      We obtain the asymptotic formula of the Sidon constant for ordinary Dirichlet series using the Bohnenblust--Hille inequality and estimates on smooth numbers. We moreover give precise estimates for the error term.
    • Universality and distribution of zeros and poles of some zeta functions 

      Seip, Kristian (Peer reviewed; Journal article, 2020)
      This paper studies zeta functions of the form P∞ n=1 χ(n)n −s , with χ a completely multiplicative function taking only unimodular values. We denote by σ(χ) the infimum of those α such that the Dirichlet series P∞ n=1 χ(n)n ...
    • Volterra operators on Hardy spaces of Dirichlet series 

      Brevig, Ole Fredrik; Perfekt, Karl-Mikael; Seip, Kristian (Journal article; Peer reviewed, 2019)
      For a Dirichlet series symbol g.s/ D P n 1 bnn s , the associated Volterra operator Tg acting on a Dirichlet series f .s/ D P n 1 ann s is defined by the integral f 7! Z C1 s f .w/g0 .w/ dw: We show that Tg is a bounded ...