• Helson's problem for sums of a random multiplicative function 

      Seip, Kristian; Bondarenko, Andriy (Journal article; Peer reviewed, 2016-10-21)
      We consider the random functions $S_{N}(z):=\sum _{n=1}^{N}z(n)$SN(z):=∑Nn=1z(n), where $z(n)$z(n) is the completely multiplicative random function generated by independent Steinhaus variables $z(p)$z(p). It is shown that ...
    • Moments of Random Multiplicative Functions and Truncated Characteristic Polynomials 

      Lindqvist, Sofia Margareta (Master thesis, 2015)
      An asymptotic formula for the 2kth moment of a sum of multiplicative Steinahus variables is given. This is obtained by expressing the moment as a 2k-fold complex contour integral, from which one can extract the lead- ing ...