Blar i Fakultet for informasjonsteknologi og elektroteknikk (IE) på tidsskrift "Mathematika"
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FULLY INHOMOGENEOUS MULTIPLICATIVE DIOPHANTINE APPROXIMATION OF BADLY APPROXIMABLE NUMBERS
(Journal article; Peer reviewed, 2021)We establish a strong form of Littlewood's conjecture with inhomogeneous shifts, for a full-dimensional set of pairs of badly approximable numbers on a vertical line. We also prove a uniform assertion of this nature, ... -
Helson's problem for sums of a random multiplicative function
(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 ...