%0 Journal Article
%T Supremum of random Dirichlet polynomials with sub-multiplicative coefficients
%A Michel Weber
%J Uniform Distribution Theory
%D 2010
%I Mathematical Institute of the Slovak Academy of Sciences
%X We study the supremum of random Dirichlet polynomials $D_N(s)= \sum_{n=1}^N \varepsilon_n d(n) n^{- s }$, where $(\varepsilon_n)$ is a sequence of independent Rademacher random variables, and $d$ is a sub-multiplicative function. The approach is gaussian and entirely based on comparison properties of Gaussian processes, with no use of the metric entropy method. As in preceding related works, the proof uses a sieve argument due to Queff¨Ślec.
%K Random Dirichlet polynomials
%K sub-multiplicative coefficients
%K maximum
%K Gaussian processes
%U http://www.boku.ac.at/MATH/udt/vol05/no1/92Winkler10-1.pdf