%0 Journal Article
%T Partial sums of the M{£¿}bius function
%A K. Soundararajan
%J Mathematics
%D 2007
%I arXiv
%X Assuming the Riemann Hypothesis we establish an upper bound for the sum of the M{\" o}bius function up to $x$. Our method is based on estimating the frequency with which intervals of a given length can contain an unusual number of ordinates of zeros of the Riemann zeta-function.
%U http://arxiv.org/abs/0705.0723v2