Blar i NTNU Open på forfatter "Bondarenko, Andriy"
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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 ...